{(-32*(-127 + 18*i^2 - 72*i*j + 72*j^2 - 253*n + 54*i*n + 18*i^2*n - 
     108*j*n - 72*i*j*n + 72*j^2*n - 117*n^2 + 54*i*n^2 - 108*j*n^2 + 9*n^3)*
    f[i, j, n])/27 + (2*(-658 + 34*i + 99*i^2 + 27*i^3 - 68*j - 396*i*j - 
     162*i^2*j + 396*j^2 + 324*i*j^2 - 216*j^3 - 427*n + 180*i*n + 81*i^2*n - 
     360*j*n - 324*i*j*n + 324*j^2*n - 27*n^2 + 81*i*n^2 - 162*j*n^2 + 
     18*n^3)*f[i, j, 2 + n])/27 + 
  ((-320 - 296*i - 90*i^2 - 9*i^3 + 592*j + 360*i*j + 54*i^2*j - 360*j^2 - 
     108*i*j^2 + 72*j^3 - 296*n - 180*i*n - 27*i^2*n + 360*j*n + 108*i*j*n - 
     108*j^2*n - 90*n^2 - 27*i*n^2 + 54*j*n^2 - 9*n^3)*f[i, j, 4 + n])/216 + 
  (128*(1 + 90*i - 18*i^2 - 180*j + 72*i*j - 72*j^2 + 208*n + 63*i*n - 
     18*i^2*n - 126*j*n + 72*i*j*n - 72*j^2*n + 234*n^2 - 27*i*n^2 + 
     54*j*n^2 + 27*n^3)*f[i, 1 + j, n])/27 - 
  (4*(3988 + 362*i + 585*i^2 - 27*i^3 - 584*j - 468*i*j + 90*i^2*j + 
     468*j^2 - 180*i*j^2 + 216*j^3 + 3568*n - 162*i*n + 234*i^2*n - 576*j*n - 
     144*i*j*n - 144*j^2*n + 1197*n^2 - 81*i*n^2 + 54*j*n^2 + 108*n^3)*
    f[i, 1 + j, 2 + n])/27 + 
  ((5304 - 26*i + 297*i^2 - 9*i^3 - 1180*j - 180*i*j + 54*i^2*j + 252*j^2 - 
     108*i*j^2 + 72*j^3 + 3318*n - 126*i*n + 54*i^2*n - 576*j*n + 729*n^2 - 
     27*i*n^2 - 54*j*n^2 + 54*n^3)*f[i, 1 + j, 4 + n])/108 + 
  (64*(-341 + 180*i - 18*i^2 - 360*j + 72*i*j - 72*j^2 - 197*n + 180*i*n - 
     18*i^2*n - 360*j*n + 72*i*j*n - 72*j^2*n + 183*n^2 + 39*n^3)*
    f[i, 2 + j, n])/9 - (4*(5326 + 1868*i + 216*i^2 + 72*i^3 - 1440*j + 
     1728*i*j - 288*i^2*j - 288*j^2 + 288*i*j^2 + 6035*n - 1710*i*n + 
     405*i^2*n + 180*j*n - 36*i*j*n + 36*j^2*n + 1998*n^2 - 540*i*n^2 + 
     306*n^3)*f[i, 2 + j, 2 + n])/27 + 
  ((12800 - 8146*i + 2709*i^2 - 216*i^3 + 1620*j - 324*i*j + 324*j^2 + 
     9510*n - 5130*i*n + 783*i^2*n + 540*j*n - 108*i*j*n + 108*j^2*n + 
     2601*n^2 - 756*i*n^2 + 261*n^3)*f[i, 2 + j, 4 + n])/108 + 
  ((-1344 + 764*i - 144*i^2 + 9*i^3 - 764*n + 288*i*n - 27*i^2*n - 144*n^2 + 
     27*i*n^2 - 9*n^3)*f[i, 2 + j, 6 + n])/216 + 
  (128*(-899 + 270*i - 18*i^2 - 540*j + 72*i*j - 72*j^2 - 962*n + 297*i*n - 
     18*i^2*n - 594*j*n + 72*i*j*n - 72*j^2*n - 36*n^2 + 27*i*n^2 - 
     54*j*n^2 + 27*n^3)*f[i, 3 + j, n])/27 - 
  (4*(-8392 + 9138*i - 1305*i^2 + 99*i^3 - 10936*j + 4212*i*j - 378*i^2*j - 
     2772*j^2 + 468*i*j^2 - 216*j^3 + 2848*n + 1422*i*n - 54*i^2*n - 
     864*j*n + 432*i*j*n - 144*j^2*n + 927*n^2 - 27*i*n^2 - 54*j*n^2 + 
     108*n^3)*f[i, 3 + j, 2 + n])/27 + 
  ((8504 - 126*i + 99*i^2 + 9*i^3 - 1700*j + 756*i*j - 54*i^2*j - 828*j^2 + 
     108*i*j^2 - 72*j^3 + 6198*n - 702*i*n + 54*i^2*n + 576*j*n + 999*n^2 - 
     81*i*n^2 + 54*j*n^2 + 54*n^3)*f[i, 3 + j, 4 + n])/108 - 
  (32*(1673 - 360*i + 18*i^2 + 720*j - 72*i*j + 72*j^2 + 2087*n - 414*i*n + 
     18*i^2*n + 828*j*n - 72*i*j*n + 72*j^2*n + 423*n^2 - 54*i*n^2 + 
     108*j*n^2 + 9*n^3)*f[i, 4 + j, n])/27 + 
  (2*(36582 - 10114*i + 909*i^2 - 27*i^3 + 20228*j - 3636*i*j + 162*i^2*j + 
     3636*j^2 - 324*i*j^2 + 216*j^3 + 9473*n - 1800*i*n + 81*i^2*n + 
     3600*j*n - 324*i*j*n + 324*j^2*n + 783*n^2 - 81*i*n^2 + 162*j*n^2 + 
     18*n^3)*f[i, 4 + j, 2 + n])/27 + 
  ((-21280 + 4796*i - 360*i^2 + 9*i^3 - 9592*j + 1440*i*j - 54*i^2*j - 
     1440*j^2 + 108*i*j^2 - 72*j^3 - 4796*n + 720*i*n - 27*i^2*n - 1440*j*n + 
     108*i*j*n - 108*j^2*n - 360*n^2 + 27*i*n^2 - 54*j*n^2 - 9*n^3)*
    f[i, 4 + j, 4 + n])/216 + 
  (16*(-433 - 397*i + 54*i^2 + 18*i^3 - 72*j - 144*i*j - 72*i^2*j + 72*j^2 + 
     72*i*j^2 - 351*n - 279*i*n + 72*i^2*n - 144*j*n - 144*i*j*n - 27*n^2 - 
     27*i*n^2)*f[1 + i, 1 + j, 1 + n])/27 + 
  ((578 + 596*i + 18*i^2 - 36*j - 36*i*j + 261*n + 261*i*n + 27*n^2 + 
     27*i*n^2)*f[1 + i, 1 + j, 3 + n])/27 + 
  (16*(-289 - 397*i - 90*i^2 + 18*i^3 + 216*j + 144*i*j - 72*i^2*j + 72*j^2 + 
     72*i*j^2 - 519*n - 495*i*n + 24*i^2*n - 48*j*n - 48*i*j*n - 99*n^2 - 
     99*i*n^2)*f[1 + i, 2 + j, 1 + n])/9 + 
  ((7306 + 7540*i + 342*i^2 + 108*i^3 - 36*j - 36*i*j + 3447*n + 3447*i*n + 
     405*n^2 + 405*i*n^2)*f[1 + i, 2 + j, 3 + n])/27 + 
  ((-1088 - 1106*i - 27*i^2 - 9*i^3 - 342*n - 342*i*n - 27*n^2 - 27*i*n^2)*
    f[1 + i, 2 + j, 5 + n])/108 + 
  (16*(431 + 179*i - 234*i^2 + 18*i^3 + 504*j + 432*i*j - 72*i^2*j + 72*j^2 + 
     72*i*j^2 - 279*n - 303*i*n - 24*i^2*n + 48*j*n + 48*i*j*n - 99*n^2 - 
     99*i*n^2)*f[1 + i, 3 + j, 1 + n])/9 + 
  ((7486 + 7684*i + 306*i^2 + 108*i^3 + 36*j + 36*i*j + 3447*n + 3447*i*n + 
     405*n^2 + 405*i*n^2)*f[1 + i, 3 + j, 3 + n])/27 + 
  ((-1088 - 1106*i - 27*i^2 - 9*i^3 - 342*n - 342*i*n - 27*n^2 - 27*i*n^2)*
    f[1 + i, 3 + j, 5 + n])/108 + 
  (16*(1727 + 1331*i - 378*i^2 + 18*i^3 + 792*j + 720*i*j - 72*i^2*j + 
     72*j^2 + 72*i*j^2 + 369*n + 297*i*n - 72*i^2*n + 144*j*n + 144*i*j*n - 
     27*n^2 - 27*i*n^2)*f[1 + i, 4 + j, 1 + n])/27 + 
  ((758 + 740*i - 18*i^2 + 36*j + 36*i*j + 261*n + 261*i*n + 27*n^2 + 
     27*i*n^2)*f[1 + i, 4 + j, 3 + n])/27, 
 (16*(35 + 71*n + 45*n^2 + 9*n^3)*f[i, j, n])/27 + 
  ((3826 + 974*i - 387*i^2 - 27*i^3 + 1868*j + 972*i*j + 90*i^2*j - 396*j^2 - 
     36*i*j^2 - 72*j^3 + 1795*n + 486*i*n - 135*i^2*n + 1044*j*n + 
     252*i*j*n + 36*j^2*n + 81*n^2 + 81*i*n^2 + 54*j*n^2 - 18*n^3)*
    f[i, j, 2 + n])/27 + ((-3712 - 3016*i - 630*i^2 - 27*i^3 + 2000*j + 
     1224*i*j + 90*i^2*j + 72*j^2 - 36*i*j^2 - 72*j^3 - 1576*n - 1044*i*n - 
     117*i^2*n + 216*j*n + 180*i*j*n + 108*j^2*n - 126*n^2 - 81*i*n^2 - 
     54*j*n^2 + 9*n^3)*f[i, j, 4 + n])/432 + 
  (64*(35 + 71*n + 45*n^2 + 9*n^3)*f[i, 1 + j, n])/27 - 
  (2*(-7948 - 4124*i + 279*i^2 + 45*i^3 + 872*j - 828*i*j - 162*i^2*j + 
     1116*j^2 + 108*i*j^2 + 72*j^3 - 5854*n - 2340*i*n + 162*i^2*n - 
     756*j*n - 288*i*j*n + 144*j^2*n - 819*n^2 - 351*i*n^2 - 162*j*n^2 + 
     36*n^3)*f[i, 1 + j, 2 + n])/27 + 
  ((-25176 - 11422*i - 1449*i^2 - 189*i^3 - 404*j + 828*i*j + 234*i^2*j - 
     108*j^2 - 252*i*j^2 - 72*j^3 - 9438*n - 3654*i*n - 198*i^2*n - 432*j*n + 
     288*i*j*n + 144*j^2*n - 909*n^2 - 351*i*n^2 - 162*j*n^2 + 18*n^3)*
    f[i, 1 + j, 4 + n])/216 + (32*(35 + 71*n + 45*n^2 + 9*n^3)*
    f[i, 2 + j, n])/9 + (2*(-722 + 4586*i + 144*i^2 - 54*i^3 - 6480*j - 
     288*i*j + 216*i^2*j - 1152*j^2 - 216*i*j^2 + 3245*n + 3222*i*n - 
     117*i^2*n - 1908*j*n + 180*i*j*n - 324*j^2*n + 1134*n^2 + 486*i*n^2 + 
     18*n^3)*f[i, 2 + j, 2 + n])/27 + 
  ((-36704 - 14966*i + 747*i^2 - 342*i^3 + 540*j - 3636*i*j + 504*i^2*j + 
     396*j^2 - 504*i*j^2 - 15630*n - 3546*i*n + 153*i^2*n + 612*j*n - 
     324*i*j*n + 180*j^2*n - 2421*n^2 - 270*i*n^2 - 117*n^3)*
    f[i, 2 + j, 4 + n])/216 + 
  ((1344 - 764*i + 144*i^2 - 9*i^3 + 764*n - 288*i*n + 27*i^2*n + 144*n^2 - 
     27*i*n^2 + 9*n^3)*f[i, 2 + j, 6 + n])/432 + 
  (64*(35 + 71*n + 45*n^2 + 9*n^3)*f[i, 3 + j, n])/27 - 
  (2*(8824 - 48*i - 351*i^2 + 27*i^3 + 2872*j + 1116*i*j - 126*i^2*j - 
     252*j^2 + 180*i*j^2 - 72*j^3 + 5414*n - 1152*i*n + 18*i^2*n + 2196*j*n + 
     144*j^2*n + 639*n^2 - 189*i*n^2 + 162*j*n^2 + 36*n^3)*
    f[i, 3 + j, 2 + n])/27 + 
  ((6184 - 14922*i + 2133*i^2 - 99*i^3 + 6740*j - 4572*i*j + 342*i^2*j + 
     1260*j^2 - 324*i*j^2 + 72*j^3 + 3234*n - 3510*i*n + 234*i^2*n + 
     1872*j*n - 576*i*j*n + 144*j^2*n + 549*n^2 - 189*i*n^2 + 162*j*n^2 + 
     18*n^3)*f[i, 3 + j, 4 + n])/216 + 
  (16*(35 + 71*n + 45*n^2 + 9*n^3)*f[i, 4 + j, n])/27 + 
  ((2730 - 1802*i + 243*i^2 - 9*i^3 + 3604*j - 972*i*j + 54*i^2*j + 972*j^2 - 
     108*i*j^2 + 72*j^3 - 1661*n + 54*i*n + 9*i^2*n - 108*j*n - 36*i*j*n + 
     36*j^2*n - 405*n^2 + 27*i*n^2 - 54*j*n^2 - 18*n^3)*f[i, 4 + j, 2 + n])/
   27 + ((21280 - 4796*i + 360*i^2 - 9*i^3 + 9592*j - 1440*i*j + 54*i^2*j + 
     1440*j^2 - 108*i*j^2 + 72*j^3 + 4796*n - 720*i*n + 27*i^2*n + 1440*j*n - 
     108*i*j*n + 108*j^2*n + 360*n^2 - 27*i*n^2 + 54*j*n^2 + 9*n^3)*
    f[i, 4 + j, 4 + n])/432 - 
  (8*(-28 + 10*i + 2*i^2 - 20*j - 8*i*j + 8*j^2 - 26*n + 11*i*n + i^2*n - 
     22*j*n - 4*i*j*n + 4*j^2*n - 6*n^2 + 3*i*n^2 - 6*j*n^2)*
    f[1 + i, j, 1 + n])/3 + 
  ((-88 + 6*i + 15*i^2 + 2*i^3 - 12*j - 60*i*j - 12*i^2*j + 60*j^2 + 
     24*i*j^2 - 16*j^3 - 46*n + 13*i*n + 5*i^2*n - 26*j*n - 20*i*j*n + 
     20*j^2*n - 6*n^2 + 3*i*n^2 - 6*j*n^2)*f[1 + i, j, 3 + n])/6 + 
  (8*(1315 - 17*i - 72*i^2 - 216*j + 288*i*j - 288*j^2 + 1755*n - 171*i*n - 
     36*i^2*n + 108*j*n + 144*i*j*n - 144*j^2*n + 693*n^2 - 81*i*n^2 + 
     108*j*n^2 + 72*n^3)*f[1 + i, 1 + j, 1 + n])/27 + 
  ((-16850 - 5168*i - 180*i^2 + 126*i^3 + 36*j - 1044*i*j - 504*i^2*j - 
     216*j^2 + 648*i*j^2 - 288*j^3 - 9765*n - 1827*i*n + 36*i^2*n + 252*j*n - 
     432*i*j*n - 1917*n^2 - 135*i*n^2 + 108*j*n^2 - 144*n^3)*
    f[1 + i, 1 + j, 3 + n])/54 + 
  ((160 + 92*i + 17*i^2 + i^3 - 112*j - 38*i*j - 3*i^2*j + 16*j^2 + 2*i*j^2 + 
     92*n + 34*i*n + 3*i^2*n - 38*j*n - 6*i*j*n + 2*j^2*n + 17*n^2 + 
     3*i*n^2 - 3*j*n^2 + n^3)*f[1 + i, 1 + j, 5 + n])/12 + 
  (8*(43 + 163*i - 36*i^2 - 576*j + 144*i*j - 144*j^2 + 519*n + 27*i*n - 
     18*i^2*n - 288*j*n + 72*i*j*n - 72*j^2*n + 345*n^2 - 27*i*n^2 + 48*n^3)*
    f[1 + i, 2 + j, 1 + n])/9 + 
  ((-38410 - 13516*i - 2358*i^2 + 162*i^3 + 612*j + 1188*i*j - 504*i^2*j + 
     288*j^2 + 504*i*j^2 - 24651*n - 5895*i*n - 522*i^2*n - 1584*j*n + 
     216*i*j*n - 360*j^2*n - 4455*n^2 - 675*i*n^2 - 288*n^3)*
    f[1 + i, 2 + j, 3 + n])/54 + 
  ((19520 + 9458*i + 1503*i^2 + 99*i^3 + 2304*j - 288*i*j - 72*i^2*j + 
     576*j^2 + 72*i*j^2 + 6966*n + 2646*i*n + 216*i^2*n + 288*j*n - 
     72*i*j*n + 72*j^2*n + 855*n^2 + 189*i*n^2 + 36*n^3)*
    f[1 + i, 2 + j, 5 + n])/216 + 
  (8*(-893 + 223*i - 24*i^2 - 696*j + 96*i*j - 96*j^2 - 405*n + 93*i*n - 
     12*i^2*n - 420*j*n + 48*i*j*n - 48*j^2*n + 69*n^2 - 9*i*n^2 - 36*j*n^2 + 
     24*n^3)*f[1 + i, 3 + j, 1 + n])/9 + 
  ((-1294 - 2320*i - 1440*i^2 + 54*i^3 + 12924*j + 468*i*j - 72*i^2*j + 
     3384*j^2 - 72*i*j^2 + 288*j^3 - 11151*n - 225*i*n - 396*i^2*n - 
     252*j*n + 432*i*j*n - 2403*n^2 - 81*i*n^2 - 108*j*n^2 - 144*n^3)*
    f[1 + i, 3 + j, 3 + n])/54 + 
  ((16640 + 1754*i - 135*i^2 + 9*i^3 + 4320*j + 396*i*j - 18*i^2*j + 
     288*j^2 + 36*i*j^2 + 5310*n + 414*i*n - 18*i^2*n + 972*j*n + 36*i*j*n + 
     36*j^2*n + 549*n^2 + 27*i*n^2 + 54*j*n^2 + 18*n^3)*
    f[1 + i, 3 + j, 5 + n])/216 - 
  (8*(1745 - 253*i + 18*i^2 + 756*j - 72*i*j + 72*j^2 + 1251*n - 126*i*n + 
     9*i^2*n + 486*j*n - 36*i*j*n + 36*j^2*n + 189*n^2 + 54*j*n^2)*
    f[1 + i, 4 + j, 1 + n])/27 + 
  ((21058 - 2666*i + 27*i^2 + 12456*j - 1224*i*j + 36*i^2*j + 2340*j^2 - 
     144*i*j^2 + 144*j^3 + 4149*n - 162*i*n - 27*i^2*n + 1818*j*n - 
     36*i*j*n + 180*j^2*n + 189*n^2 + 54*j*n^2)*f[1 + i, 4 + j, 3 + n])/54, 
 (8*(27 + 8*i - 3*i^2 - 16*j + 12*i*j - 12*j^2 + 66*n + 5*i*n - 3*i^2*n - 
     10*j*n + 12*i*j*n - 12*j^2*n + 47*n^2 - 3*i*n^2 + 6*j*n^2 + 8*n^3)*
    f[i, j, n])/3 + ((-476 - 146*i - 100*i^2 + 2*i^3 + 236*j + 128*i*j - 
     4*i^2*j - 96*j^2 + 8*i*j^2 - 16*j^3 - 416*n - 43*i*n - 41*i^2*n + 
     150*j*n + 52*i*j*n - 20*j^2*n - 135*n^2 + 3*i*n^2 + 18*j*n^2 - 16*n^3)*
    f[i, j, 2 + n])/6 + ((48 - 3*i^2 - 40*j + 6*i*j + i^2*j + 8*j^2 - 
     2*i*j^2 + 40*n - i^2*n - 22*j*n + 2*i*j*n + 2*j^2*n + 11*n^2 - 3*j*n^2 + 
     n^3)*f[i, j, 4 + n])/12 + 
  (16*(-3 + 18*i - 3*i^2 - 36*j + 12*i*j - 12*j^2 + 27*n + 18*i*n - 3*i^2*n - 
     36*j*n + 12*i*j*n - 12*j^2*n + 38*n^2 + 8*n^3)*f[i, 1 + j, n])/3 + 
  ((-398 + 32*i - 54*i^2 - 4*i^3 - 72*j - 24*i*j + 16*i^2*j - 24*j^2 - 
     16*i*j^2 - 299*n + 134*i*n - 33*i^2*n - 60*j*n + 20*i*j*n - 20*j^2*n - 
     90*n^2 + 36*i*n^2 - 16*n^3)*f[i, 1 + j, 2 + n])/3 + 
  ((-100*i + 45*i^2 - 5*i^3 + 48*j - 28*i*j + 4*i^2*j + 16*j^2 - 4*i*j^2 + 
     20*n - 58*i*n + 12*i^2*n + 12*j*n - 4*i*j*n + 4*j^2*n + 13*n^2 - 
     9*i*n^2 + 2*n^3)*f[i, 1 + j, 4 + n])/12 + 
  (16*(-44 + 22*i - 2*i^2 - 44*j + 8*i*j - 8*j^2 - 41*n + 25*i*n - 2*i^2*n - 
     50*j*n + 8*i*j*n - 8*j^2*n + 7*n^2 + 3*i*n^2 - 6*j*n^2 + 4*n^3)*
    f[i, 2 + j, n])/3 + ((-258 - 254*i + 46*i^2 - 6*i^3 + 240*j - 192*i*j + 
     24*i^2*j + 128*j^2 - 32*i*j^2 + 16*j^3 - 393*n - 3*i*n - 2*i^2*n - 
     58*j*n - 16*i*j*n - 87*n^2 + 9*i*n^2 - 6*j*n^2 - 8*n^3)*
    f[i, 2 + j, 2 + n])/3 + 
  ((240 - 124*i + 20*i^2 - i^3 + 88*j - 34*i*j + 3*i^2*j + 8*j^2 - 2*i*j^2 + 
     124*n - 40*i*n + 3*i^2*n + 34*j*n - 6*i*j*n + 2*j^2*n + 20*n^2 - 
     3*i*n^2 + 3*j*n^2 + n^3)*f[i, 2 + j, 4 + n])/12 - 
  (8*(55 - 16*i + i^2 + 32*j - 4*i*j + 4*j^2 + 70*n - 19*i*n + i^2*n + 
     38*j*n - 4*i*j*n + 4*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*f[i, 3 + j, n])/
   3 + ((1100 - 430*i + 52*i^2 - 2*i^3 + 860*j - 208*i*j + 12*i^2*j + 
     208*j^2 - 24*i*j^2 + 16*j^3 + 260*n - 77*i*n + 5*i^2*n + 154*j*n - 
     20*i*j*n + 20*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*f[i, 3 + j, 2 + n])/
   6 - (4*(13 + 25*i - 5*i^2 - i^3 - 4*j + 8*i*j + 4*i^2*j + 4*j^2 - 
     4*i*j^2 + 2*n + 28*i*n - 2*i^2*n - 20*j*n + 8*j^2*n - 3*n^2 + 9*i*n^2 - 
     12*j*n^2)*f[1 + i, j, 1 + n])/3 + 
  ((-32 + 108*i + 49*i^2 + 5*i^3 - 120*j - 164*i*j - 28*i^2*j + 132*j^2 + 
     52*i*j^2 - 32*j^3 - 20*n + 62*i*n + 14*i^2*n - 76*j*n - 48*i*j*n + 
     40*j^2*n - 3*n^2 + 9*i*n^2 - 12*j*n^2)*f[1 + i, j, 3 + n])/12 + 
  (4*(-93 - 99*i - 3*i^2 + 3*i^3 + 12*j - 12*i^2*j + 12*j^2 + 12*i*j^2 - 
     98*n - 94*i*n + 4*i^2*n - 8*j*n - 8*i*j*n - 21*n^2 - 21*i*n^2)*
    f[1 + i, 1 + j, 1 + n])/3 + 
  ((372 + 392*i + 31*i^2 + 11*i^3 - 8*j - 20*i*j - 12*i^2*j + 12*j^2 + 
     12*i*j^2 + 172*n + 176*i*n + 4*i^2*n - 8*j*n - 8*i*j*n + 21*n^2 + 
     21*i*n^2)*f[1 + i, 1 + j, 3 + n])/12 + 
  (4*(-21 - 51*i - 27*i^2 + 3*i^3 + 60*j + 48*i*j - 12*i^2*j + 12*j^2 + 
     12*i*j^2 - 74*n - 78*i*n - 4*i^2*n + 8*j*n + 8*i*j*n - 21*n^2 - 
     21*i*n^2)*f[1 + i, 2 + j, 1 + n])/3 + 
  ((504 + 480*i - 13*i^2 + 11*i^3 + 80*j + 68*i*j - 12*i^2*j + 12*j^2 + 
     12*i*j^2 + 196*n + 192*i*n - 4*i^2*n + 8*j*n + 8*i*j*n + 21*n^2 + 
     21*i*n^2)*f[1 + i, 2 + j, 3 + n])/12 + 
  (4*(49 + 31*i - 17*i^2 + i^3 + 36*j + 32*i*j - 4*i^2*j + 4*j^2 + 4*i*j^2 + 
     6*n + 2*i*n - 4*i^2*n + 8*j*n + 8*i*j*n - 3*n^2 - 3*i*n^2)*
    f[1 + i, 3 + j, 1 + n])/3 + 
  ((180 + 152*i - 27*i^2 + i^3 + 56*j + 52*i*j - 4*i^2*j + 4*j^2 + 4*i*j^2 + 
     48*n + 44*i*n - 4*i^2*n + 8*j*n + 8*i*j*n + 3*n^2 + 3*i*n^2)*
    f[1 + i, 3 + j, 3 + n])/12 + 
  (8*(-5 + 4*i + i^2 - 8*j - 4*i*j + 4*j^2 - 8*n + 7*i*n + i^2*n - 14*j*n - 
     4*i*j*n + 4*j^2*n - 3*n^2 + 3*i*n^2 - 6*j*n^2)*f[2 + i, j, n])/3 + 
  ((40 - 22*i - 16*i^2 - 2*i^3 + 44*j + 64*i*j + 12*i^2*j - 64*j^2 - 
     24*i*j^2 + 16*j^3 + 22*n - 17*i*n - 5*i^2*n + 34*j*n + 20*i*j*n - 
     20*j^2*n + 3*n^2 - 3*i*n^2 + 6*j*n^2)*f[2 + i, j, 2 + n])/6 + 
  (8*(-5 + 4*i + i^2 - 8*j - 4*i*j + 4*j^2 - 8*n + 7*i*n + i^2*n - 14*j*n - 
     4*i*j*n + 4*j^2*n - 3*n^2 + 3*i*n^2 - 6*j*n^2)*f[2 + i, 1 + j, n])/3 + 
  ((40 - 22*i - 16*i^2 - 2*i^3 + 44*j + 64*i*j + 12*i^2*j - 64*j^2 - 
     24*i*j^2 + 16*j^3 + 22*n - 17*i*n - 5*i^2*n + 34*j*n + 20*i*j*n - 
     20*j^2*n + 3*n^2 - 3*i*n^2 + 6*j*n^2)*f[2 + i, 1 + j, 2 + n])/6, 
 (8*(-184 - 121*i + 4*i^2 + i^3 - 32*j - 24*i*j - 4*i^2*j + 8*j^2 + 4*i*j^2 - 
     100*n - 66*i*n + 2*i^2*n - 16*j*n - 8*i*j*n - 12*n^2 - 9*i*n^2)*
    f[i, j, 2 + n])/3 + ((432 + 484*i + 96*i^2 + 5*i^3 - 72*j - 44*i*j - 
     4*i^2*j + 8*j^2 + 4*i*j^2 + 140*n + 132*i*n + 14*i^2*n - 16*j*n - 
     8*i*j*n + 12*n^2 + 9*i*n^2)*f[i, j, 4 + n])/6 + 
  (16*(-142 - 83*i - 4*i^2 + i^3 + 24*j + 4*i*j - 4*i^2*j + 8*j^2 + 4*i*j^2 - 
     108*n - 54*i*n - 18*n^2 - 9*i*n^2)*f[i, 1 + j, 2 + n])/3 + 
  ((560 + 300*i + 20*i^2 + 5*i^3 + 24*j + 4*i*j - 4*i^2*j + 8*j^2 + 4*i*j^2 + 
     192*n + 96*i*n + 18*n^2 + 9*i*n^2)*f[i, 1 + j, 4 + n])/3 + 
  (8*(62 - 9*i - 18*i^2 + i^3 + 80*j + 32*i*j - 4*i^2*j + 8*j^2 + 4*i*j^2 - 
     8*n - 12*i*n - 4*i^2*n + 16*j*n + 8*i*j*n - 6*n^2 - 3*i*n^2)*
    f[i, 2 + j, 2 + n])/3 + 
  ((400 + 140*i - 28*i^2 + i^3 + 120*j + 52*i*j - 4*i^2*j + 8*j^2 + 4*i*j^2 + 
     100*n + 42*i*n - 4*i^2*n + 16*j*n + 8*i*j*n + 6*n^2 + 3*i*n^2)*
    f[i, 2 + j, 4 + n])/6 + 
  (16*(-28 + 10*i + 2*i^2 - 20*j - 8*i*j + 8*j^2 - 26*n + 11*i*n + i^2*n - 
     22*j*n - 4*i*j*n + 4*j^2*n - 6*n^2 + 3*i*n^2 - 6*j*n^2)*
    f[1 + i, j, 1 + n])/3 + 
  ((88 - 6*i - 15*i^2 - 2*i^3 + 12*j + 60*i*j + 12*i^2*j - 60*j^2 - 
     24*i*j^2 + 16*j^3 + 46*n - 13*i*n - 5*i^2*n + 26*j*n + 20*i*j*n - 
     20*j^2*n + 6*n^2 - 3*i*n^2 + 6*j*n^2)*f[1 + i, j, 3 + n])/3 - 
  (16*(120 + 14*i - 6*i^2 - 28*j + 24*i*j - 24*j^2 + 164*n + i*n - 3*i^2*n - 
     2*j*n + 12*i*j*n - 12*j^2*n + 68*n^2 - 3*i*n^2 + 6*j*n^2 + 8*n^3)*
    f[1 + i, 1 + j, 1 + n])/3 + 
  ((2416 + 1214*i + 95*i^2 - 10*i^3 + 12*j + 52*i*j + 36*i^2*j + 44*j^2 - 
     40*i*j^2 + 16*j^3 + 1388*n + 575*i*n + 25*i^2*n - 30*j*n + 12*i*j*n + 
     20*j^2*n + 252*n^2 + 69*i*n^2 - 18*j*n^2 + 16*n^3)*
    f[1 + i, 1 + j, 3 + n])/3 + 
  ((-480 - 484*i - 93*i^2 - 5*i^3 + 112*j + 38*i*j + 3*i^2*j - 16*j^2 - 
     2*i*j^2 - 180*n - 132*i*n - 13*i^2*n + 38*j*n + 6*i*j*n - 2*j^2*n - 
     23*n^2 - 9*i*n^2 + 3*j*n^2 - n^3)*f[1 + i, 1 + j, 5 + n])/6 - 
  (16*(-12 + 58*i - 6*i^2 - 116*j + 24*i*j - 24*j^2 + 62*n + 35*i*n - 
     3*i^2*n - 70*j*n + 12*i*j*n - 12*j^2*n + 50*n^2 + 3*i*n^2 - 6*j*n^2 + 
     8*n^3)*f[1 + i, 2 + j, 1 + n])/3 + 
  ((1720 + 206*i + 131*i^2 + 2*i^3 - 180*j - 92*i*j - 4*i^2*j - 100*j^2 + 
     8*i*j^2 - 16*j^3 + 1306*n + 21*i*n + 41*i^2*n + 150*j*n - 52*i*j*n + 
     20*j^2*n + 258*n^2 + 3*i*n^2 + 18*j*n^2 + 16*n^3)*
    f[1 + i, 2 + j, 3 + n])/3 + 
  ((-640 - 16*i + 8*i^2 - 208*j - 18*i*j + i^2*j - 16*j^2 - 2*i*j^2 - 224*n - 
     2*i*n + i^2*n - 50*j*n - 2*i*j*n - 2*j^2*n - 26*n^2 - 3*j*n^2 - n^3)*
    f[1 + i, 2 + j, 5 + n])/6 + 
  (16*(104 - 34*i + 2*i^2 + 68*j - 8*i*j + 8*j^2 + 76*n - 23*i*n + i^2*n + 
     46*j*n - 4*i*j*n + 4*j^2*n + 12*n^2 - 3*i*n^2 + 6*j*n^2)*
    f[1 + i, 3 + j, 1 + n])/3 + 
  ((-920 + 402*i - 51*i^2 + 2*i^3 - 804*j + 204*i*j - 12*i^2*j - 204*j^2 + 
     24*i*j^2 - 16*j^3 - 212*n + 73*i*n - 5*i^2*n - 146*j*n + 20*i*j*n - 
     20*j^2*n - 12*n^2 + 3*i*n^2 - 6*j*n^2)*f[1 + i, 3 + j, 3 + n])/3 - 
  (16*(39 + 42*i + 3*i^2 + 22*n + 23*i*n + i^2*n + 3*n^2 + 3*i*n^2)*
    f[2 + i, 1 + j, 2 + n])/3 + 
  ((160 + 196*i + 38*i^2 + 2*i^3 + 44*n + 49*i*n + 5*i^2*n + 3*n^2 + 3*i*n^2)*
    f[2 + i, 1 + j, 4 + n])/3, 
 (128*(11 + 24*i - 9*i^2 - 48*j + 36*i*j - 36*j^2 + 56*n + 15*i*n - 9*i^2*n - 
     30*j*n + 36*i*j*n - 36*j^2*n + 51*n^2 - 9*i*n^2 + 18*j*n^2 + 6*n^3)*
    f[i, j, n])/3 + (4*(164 - 1205*i + 108*i^2 + 9*i^3 - 456*j - 792*i*j + 
     108*i^2*j + 1224*j^2 - 252*i*j^2 + 1136*n - 396*i*n - 72*i^2*n - 
     1404*j*n + 504*j^2*n + 918*n^2 - 27*i*n^2 - 540*j*n^2 + 216*n^3)*
    f[i, j, 2 + n])/9 + ((-29296 - 140*i - 1872*i^2 + 81*i^3 + 20664*j + 
     3348*i*j - 396*i^2*j - 5688*j^2 + 756*i*j^2 - 288*j^3 - 23140*n + 
     216*i*n - 378*i^2*n + 10440*j*n + 504*i*j*n - 1152*j^2*n - 6120*n^2 + 
     81*i*n^2 + 1296*j*n^2 - 540*n^3)*f[i, j, 4 + n])/36 + 
  ((180 - 5*i^2 - 96*j + 10*i*j + i^2*j + 12*j^2 - 2*i*j^2 + 96*n - i^2*n - 
     34*j*n + 2*i*j*n + 2*j^2*n + 17*n^2 - 3*j*n^2 + n^3)*f[i, j, 6 + n])/2 + 
  (256*(-79 + 54*i - 9*i^2 - 108*j + 36*i*j - 36*j^2 - 61*n + 54*i*n - 
     9*i^2*n - 108*j*n + 36*i*j*n - 36*j^2*n + 24*n^2 + 6*n^3)*
    f[i, 1 + j, n])/3 - (8*(-3914 + 2243*i - 540*i^2 + 63*i^3 - 3672*j + 
     1980*i*j - 252*i^2*j - 1224*j^2 + 252*i*j^2 - 1510*n + 378*i*n - 
     54*i^2*n - 1512*j*n + 504*i*j*n - 504*j^2*n + 198*n^2 - 135*i*n^2 + 
     72*n^3)*f[i, 1 + j, 2 + n])/9 + 
  ((-2368 + 8996*i - 3024*i^2 + 117*i^3 - 13176*j + 5364*i*j - 324*i^2*j - 
     4392*j^2 + 324*i*j^2 + 3084*n + 3312*i*n - 648*i^2*n - 3456*j*n + 
     1152*i*j*n - 1152*j^2*n + 1062*n^2 + 297*i*n^2 + 36*n^3)*
    f[i, 1 + j, 4 + n])/18 + 
  ((-1716 - 740*i + 333*i^2 - 27*i^3 + 648*j - 324*i*j + 36*i^2*j + 216*j^2 - 
     36*i*j^2 - 664*n - 270*i*n + 54*i^2*n + 108*j*n - 36*i*j*n + 36*j^2*n - 
     63*n^2 - 27*i*n^2)*f[i, 1 + j, 6 + n])/18 - 
  (256*(536 - 198*i + 18*i^2 + 396*j - 72*i*j + 72*j^2 + 653*n - 225*i*n + 
     18*i^2*n + 450*j*n - 72*i*j*n + 72*j^2*n + 117*n^2 - 27*i*n^2 + 
     54*j*n^2)*f[i, 2 + j, n])/9 + 
  (4*(23766 - 9753*i + 1854*i^2 - 135*i^3 + 11024*j - 3456*i*j + 396*i^2*j + 
     1512*j^2 - 252*i*j^2 + 16348*n - 5040*i*n + 468*i^2*n + 5688*j*n - 
     1080*i*j*n + 576*j^2*n + 3726*n^2 - 567*i*n^2 + 648*j*n^2 + 288*n^3)*
    f[i, 2 + j, 2 + n])/9 + 
  ((-129328 + 32508*i - 4644*i^2 + 81*i^3 - 31816*j + 3348*i*j - 36*i^2*j + 
     936*j^2 - 540*i*j^2 + 576*j^3 - 67956*n + 14418*i*n - 1044*i^2*n - 
     15840*j*n + 1512*i*j*n - 864*j^2*n - 10746*n^2 + 1323*i*n^2 - 
     1296*j*n^2 - 576*n^3)*f[i, 2 + j, 4 + n])/36 + 
  ((576 - 216*i + 26*i^2 - i^3 + 168*j - 46*i*j + 3*i^2*j + 12*j^2 - 
     2*i*j^2 + 216*n - 52*i*n + 3*i^2*n + 46*j*n - 6*i*j*n + 2*j^2*n + 
     26*n^2 - 3*i*n^2 + 3*j*n^2 + n^3)*f[i, 2 + j, 6 + n])/2 - 
  (128*(565 - 144*i + 9*i^2 + 288*j - 36*i*j + 36*j^2 + 772*n - 171*i*n + 
     9*i^2*n + 342*j*n - 36*i*j*n + 36*j^2*n + 225*n^2 - 27*i*n^2 + 
     54*j*n^2 + 18*n^3)*f[i, 3 + j, n])/9 + 
  (8*(5258 - 806*i + 36*i^2 + 1612*j - 144*i*j + 144*j^2 + 3034*n - 315*i*n + 
     9*i^2*n + 630*j*n - 36*i*j*n + 36*j^2*n + 567*n^2 - 27*i*n^2 + 
     54*j*n^2 + 36*n^3)*f[i, 3 + j, 2 + n])/9 + 
  ((2064 - 1900*i + 252*i^2 - 9*i^3 + 3800*j - 1008*i*j + 54*i^2*j + 
     1008*j^2 - 108*i*j^2 + 72*j^3 - 584*n - 189*i*n + 18*i^2*n + 378*j*n - 
     72*i*j*n + 72*j^2*n - 171*n^2 - 9*n^3)*f[i, 3 + j, 4 + n])/9 - 
  (8*(308 - 290*i - 378*i^2 - 72*i^3 - 108*j + 648*i*j + 288*i^2*j + 
     216*j^2 - 288*i*j^2 + 778*n + 45*i*n - 153*i^2*n - 1242*j*n + 36*i*j*n + 
     540*j^2*n + 846*n^2 + 189*i*n^2 - 810*j*n^2 + 288*n^3)*
    f[1 + i, j, 1 + n])/9 + 
  ((17512 - 5990*i - 783*i^2 - 90*i^3 - 9556*j + 828*i*j + 396*i^2*j + 
     1476*j^2 - 504*i*j^2 + 144*j^3 + 18574*n - 2421*i*n - 189*i^2*n - 
     5814*j*n + 180*i*j*n + 396*j^2*n + 5886*n^2 - 243*i*n^2 - 810*j*n^2 + 
     576*n^3)*f[1 + i, j, 3 + n])/18 + 
  ((-3444 + 884*i + 405*i^2 + 27*i^3 + 176*j - 1188*i*j - 144*i^2*j + 
     756*j^2 + 252*i*j^2 - 144*j^3 - 1816*n + 306*i*n + 72*i^2*n + 36*j*n - 
     216*i*j*n + 144*j^2*n - 315*n^2 + 27*i*n^2 - 18*n^3)*f[1 + i, j, 5 + n])/
   18 - (8*(592 + 418*i + 54*i^2 - 72*i^3 - 372*j + 72*i*j + 288*i^2*j - 
     360*j^2 - 288*i*j^2 + 972*n + 387*i*n - 105*i^2*n + 186*j*n + 
     228*i*j*n - 36*j^2*n + 276*n^2 + 63*i*n^2 + 18*j*n^2 + 24*n^3)*
    f[1 + i, 1 + j, 1 + n])/3 + 
  ((5152 - 5954*i + 351*i^2 - 306*i^3 + 684*j + 1908*i*j + 1188*i^2*j - 
     468*j^2 - 1224*i*j^2 + 144*j^3 + 4284*n - 3321*i*n - 63*i^2*n + 
     306*j*n + 684*i*j*n + 180*j^2*n + 1188*n^2 - 459*i*n^2 - 162*j*n^2 + 
     144*n^3)*f[1 + i, 1 + j, 3 + n])/18 + 
  ((1376 + 1700*i - 351*i^2 + 81*i^3 + 576*j - 306*i*j - 189*i^2*j + 72*j^2 + 
     198*i*j^2 + 252*n + 756*i*n - 45*i^2*n + 198*j*n - 90*i*j*n - 18*j^2*n - 
     45*n^2 + 81*i*n^2 + 27*j*n^2 - 9*n^3)*f[1 + i, 1 + j, 5 + n])/36 - 
  (8*(-1532 - 602*i + 630*i^2 - 72*i^3 - 1788*j - 1080*i*j + 288*i^2*j - 
     360*j^2 - 288*i*j^2 + 90*n + 105*i*n + 87*i^2*n - 402*j*n - 156*i*j*n - 
     36*j^2*n + 222*n^2 + 81*i*n^2 - 18*j*n^2 + 24*n^3)*
    f[1 + i, 2 + j, 1 + n])/3 + 
  ((-10616 - 21362*i + 3843*i^2 - 198*i^3 - 7380*j - 5724*i*j + 828*i^2*j - 
     1764*j^2 - 792*i*j^2 - 144*j^3 + 1818*n - 9459*i*n + 657*i^2*n + 
     774*j*n - 1044*i*j*n + 180*j^2*n + 1242*n^2 - 1053*i*n^2 + 162*j*n^2 + 
     144*n^3)*f[1 + i, 2 + j, 3 + n])/18 + 
  ((3176 + 8072*i - 522*i^2 + 126*i^3 - 144*j + 1350*i*j - 207*i^2*j + 
     72*j^2 + 198*i*j^2 + 288*n + 2214*i*n - 63*i^2*n - 306*j*n + 126*i*j*n - 
     18*j^2*n - 72*n^2 + 162*i*n^2 - 27*j*n^2 - 9*n^3)*
    f[1 + i, 2 + j, 5 + n])/36 + 
  (8*(6464 + 3926*i - 1206*i^2 + 72*i^3 + 3204*j + 2232*i*j - 288*i^2*j + 
     360*j^2 + 288*i*j^2 + 2988*n + 1809*i*n - 279*i^2*n + 990*j*n + 
     540*i*j*n + 36*j^2*n + 324*n^2 + 189*i*n^2 + 54*j*n^2)*
    f[1 + i, 3 + j, 1 + n])/9 + 
  ((-28552 - 14638*i + 1485*i^2 - 54*i^3 - 11268*j - 1908*i*j + 180*i^2*j - 
     2124*j^2 - 72*i*j^2 - 144*j^3 - 8964*n - 6111*i*n + 243*i^2*n - 
     1890*j*n - 396*i*j*n - 180*j^2*n - 756*n^2 - 621*i*n^2 - 54*j*n^2)*
    f[1 + i, 3 + j, 3 + n])/18 + 
  ((288 + 252*i - 35*i^2 + i^3 + 72*j + 68*i*j - 4*i^2*j + 4*j^2 + 4*i*j^2 + 
     60*n + 56*i*n - 4*i^2*n + 8*j*n + 8*i*j*n + 3*n^2 + 3*i*n^2)*
    f[1 + i, 3 + j, 5 + n])/2 + 
  (128*(25 + 36*i + 9*i^2 - 72*j - 36*i*j + 36*j^2 + 70*n + 63*i*n + 
     9*i^2*n - 126*j*n - 36*i*j*n + 36*j^2*n + 63*n^2 + 27*i*n^2 - 54*j*n^2 + 
     18*n^3)*f[2 + i, j, n])/9 - 
  (8*(1718 + 374*i + 36*i^2 - 748*j - 144*i*j + 144*j^2 + 1468*n + 207*i*n + 
     9*i^2*n - 414*j*n - 36*i*j*n + 36*j^2*n + 405*n^2 + 27*i*n^2 - 
     54*j*n^2 + 36*n^3)*f[2 + i, j, 2 + n])/9 + 
  ((2208 + 152*i - 90*i^2 - 9*i^3 - 304*j + 360*i*j + 54*i^2*j - 360*j^2 - 
     108*i*j^2 + 72*j^3 + 1070*n + 27*i*n - 18*i^2*n - 54*j*n + 72*i*j*n - 
     72*j^2*n + 171*n^2 + 9*n^3)*f[2 + i, j, 4 + n])/9 + 
  (128*(25 + 36*i + 9*i^2 - 72*j - 36*i*j + 36*j^2 + 70*n + 63*i*n + 
     9*i^2*n - 126*j*n - 36*i*j*n + 36*j^2*n + 63*n^2 + 27*i*n^2 - 54*j*n^2 + 
     18*n^3)*f[2 + i, 1 + j, n])/9 - 
  (8*(2069 + 752*i + 63*i^2 - 748*j - 144*i*j + 144*j^2 + 1666*n + 414*i*n + 
     18*i^2*n - 414*j*n - 36*i*j*n + 36*j^2*n + 432*n^2 + 54*i*n^2 - 
     54*j*n^2 + 36*n^3)*f[2 + i, 1 + j, 2 + n])/9 + 
  ((5856 + 2068*i + 162*i^2 - 608*j + 720*i*j + 108*i^2*j - 720*j^2 - 
     216*i*j^2 + 144*j^3 + 2536*n + 495*i*n + 9*i^2*n - 108*j*n + 144*i*j*n - 
     144*j^2*n + 369*n^2 + 27*i*n^2 + 18*n^3)*f[2 + i, 1 + j, 4 + n])/18, 
 ((160686 + 38654*i - 19502*i^2 + 1206*i^3 - 72*i^4 - 122344*j + 65048*i*j - 
     2232*i^2*j + 576*i^3*j - 52088*j^2 - 5544*i*j^2 - 1728*i^2*j^2 + 
     10368*j^3 + 2304*i*j^3 - 1152*j^4 + 458979*n + 29198*i*n - 23859*i^2*n + 
     558*i^3*n - 167908*j*n + 87768*i*j*n + 1656*i^2*j*n - 80100*j^2*n - 
     13320*i*j^2*n + 15552*j^3*n + 442160*n^2 - 15975*i*n^2 - 6453*i^2*n^2 - 
     45486*j*n^2 + 31104*i*j*n^2 - 36396*j^2*n^2 + 165123*n^3 - 9351*i*n^3 + 
     5742*j*n^3 + 19944*n^4)*f[i, j, n])/36 + 
  ((-2838200 - 754396*i - 554436*i^2 + 44784*i^3 - 1368*i^4 + 1926936*j + 
     877960*i*j + 46440*i^2*j + 576*i^3*j - 873536*j^2 - 66528*i*j^2 + 
     3744*i^2*j^2 + 7776*j^3 - 8640*i*j^3 + 19584*j^4 - 3663292*n - 
     526504*i*n - 482616*i^2*n + 19116*i^3*n + 1964520*j*n + 642852*i*j*n + 
     13932*i^2*j*n - 538488*j^2*n - 25776*i*j^2*n - 20592*j^3*n - 
     1842246*n^2 - 58167*i*n^2 - 102663*i^2*n^2 + 639738*j*n^2 + 
     121680*i*j*n^2 - 70452*j^2*n^2 - 432459*n^3 + 11223*i*n^3 + 
     63306*j*n^3 - 39888*n^4)*f[i, j, 2 + n])/576 + 
  ((287840 - 11232*i - 19142*i^2 + 702*i^3 + 72*i^4 - 295120*j + 47644*i*j + 
     8622*i^2*j - 522*i^3*j + 92880*j^2 - 21924*i*j^2 - 324*i^2*j^2 - 
     8640*j^3 + 2160*i*j^3 + 359488*n - 9360*i*n - 14049*i^2*n + 234*i^3*n - 
     277684*j*n + 33246*i*j*n + 3321*i^2*j*n + 56700*j^2*n - 8046*i*j^2*n - 
     2160*j^3*n + 165662*n^2 - 2574*i*n^2 - 2565*i^2*n^2 - 85500*j*n^2 + 
     5832*i*j*n^2 + 8370*j^2*n^2 + 33417*n^3 - 234*i*n^3 - 8631*j*n^3 + 
     2493*n^4)*f[i, j, 4 + n])/1152 + 
  ((-20214 + 111402*i - 26202*i^2 + 1836*i^3 - 90*i^4 - 218160*j + 
     74496*i*j - 5940*i^2*j + 720*i^3*j - 44184*j^2 + 1728*i*j^2 - 
     2160*i^2*j^2 + 5616*j^3 + 2880*i*j^3 - 1440*j^4 + 160071*n + 
     132476*i*n - 27171*i^2*n + 648*i^3*n - 311716*j*n + 78588*i*j*n + 
     1188*i^2*j*n - 48492*j^2*n - 12528*i*j^2*n + 15120*j^3*n + 287843*n^2 + 
     33786*i*n^2 - 7155*i^2*n^2 - 132516*j*n^2 + 28836*i*j*n^2 - 
     29052*j^2*n^2 + 141246*n^3 - 2160*i*n^3 - 9216*j*n^3 + 19944*n^4)*
    f[i, 1 + j, n])/18 + ((-2349244 + 349180*i - 331332*i^2 - 6120*i^3 + 
     900*i^4 - 44672*j - 121072*i*j + 159552*i^2*j + 216*i^3*j - 91824*j^2 - 
     61920*i*j^2 - 11808*i^2*j^2 + 29952*j^3 + 14688*i*j^3 + 1728*j^4 - 
     2745372*n + 977554*i*n - 369540*i^2*n + 630*i^3*n - 240792*j*n - 
     53640*i*j*n + 67968*i^2*j*n - 135936*j^2*n - 52632*i*j^2*n + 
     20160*j^3*n - 1264155*n^2 + 572814*i*n^2 - 92745*i^2*n^2 - 48348*j*n^2 + 
     11484*i*j*n^2 - 51876*j^2*n^2 - 317394*n^3 + 94068*i*n^3 + 18432*j*n^3 - 
     39888*n^4)*f[i, 1 + j, 2 + n])/288 + 
  ((-10240 - 596168*i + 300162*i^2 - 43452*i^3 + 1458*i^4 + 292960*j - 
     79288*i*j - 14616*i^2*j + 4032*i^3*j + 47520*j^2 - 648*i*j^2 - 
     2808*i^2*j^2 - 17280*j^3 + 4320*i*j^3 + 109608*n - 599536*i*n + 
     200925*i^2*n - 15921*i^3*n + 171304*j*n - 35676*i*j*n - 1620*i^2*j*n + 
     52920*j^2*n - 7452*i*j^2*n - 4320*j^3*n + 124414*n^2 - 201510*i*n^2 + 
     32454*i^2*n^2 + 15300*j*n^2 - 108*i*j*n^2 + 10260*j^2*n^2 + 44037*n^3 - 
     22977*i*n^3 - 2304*j*n^3 + 4986*n^4)*f[i, 1 + j, 4 + n])/1152 + 
  ((-289920 + 172512*i - 29136*i^2 + 2250*i^3 - 90*i^4 - 269352*j + 
     78600*i*j - 10044*i^2*j + 720*i^3*j - 40656*j^2 + 13176*i*j^2 - 
     2160*i^2*j^2 - 4176*j^3 + 2880*i*j^3 - 1440*j^4 - 328422*n + 
     201070*i*n - 22446*i^2*n + 558*i^3*n - 332408*j*n + 46764*i*j*n + 
     108*i^2*j*n - 3744*j^2*n - 7128*i*j^2*n + 9360*j^3*n - 59543*n^2 + 
     75141*i*n^2 - 5544*i^2*n^2 - 163278*j*n^2 + 17100*i*j*n^2 - 
     12024*j^2*n^2 + 39987*n^3 + 6255*i*n^3 - 19566*j*n^3 + 9972*n^4)*
    f[i, 2 + j, n])/18 + ((-1506660 - 1385000*i + 331136*i^2 - 45576*i^3 + 
     1620*i^4 + 1736240*j - 892496*i*j + 136368*i^2*j + 576*i^3*j + 
     524640*j^2 - 8928*i*j^2 - 18864*i^2*j^2 - 36000*j^3 + 30816*i*j^3 - 
     16704*j^4 - 3012028*n - 510570*i*n + 101520*i^2*n - 14418*i^3*n + 
     628980*j*n - 534996*i*j*n + 66744*i^2*j*n + 368208*j^2*n - 
     60336*i*j^2*n + 39600*j^3*n - 1493619*n^2 + 71793*i*n^2 - 8100*i^2*n^2 - 
     92358*j*n^2 - 47196*i*j*n^2 + 4464*j^2*n^2 - 261963*n^3 + 24885*i*n^3 - 
     5742*j*n^3 - 19944*n^4)*f[i, 2 + j, 2 + n])/288 + 
  ((1444320 - 815576*i + 155744*i^2 - 11754*i^3 + 306*i^4 + 277040*j - 
     101012*i*j + 7002*i^2*j + 234*i^3*j - 45360*j^2 + 21276*i*j^2 - 
     2484*i^2*j^2 - 8640*j^3 + 2160*i*j^3 + 1340456*n - 582676*i*n + 
     79002*i^2*n - 3411*i^3*n + 293468*j*n - 88362*i*j*n + 5859*i^2*j*n - 
     3780*j^2*n + 594*i*j^2*n - 2160*j^3*n + 426932*n^2 - 122742*i*n^2 + 
     8397*i^2*n^2 + 81360*j*n^2 - 12420*i*j*n^2 + 1890*j^2*n^2 + 55494*n^3 - 
     7785*i*n^3 + 6327*j*n^3 + 2493*n^4)*f[i, 2 + j, 4 + n])/1152 + 
  ((-451302 + 198458*i - 32534*i^2 + 2628*i^3 - 90*i^4 - 299896*j + 
     101912*i*j - 14004*i^2*j + 720*i^3*j - 73688*j^2 + 24480*i*j^2 - 
     2160*i^2*j^2 - 13968*j^3 + 2880*i*j^3 - 1440*j^4 - 536151*n + 
     174270*i*n - 15543*i^2*n + 432*i^3*n - 225060*j*n + 28656*i*j*n - 
     828*i^2*j*n + 4860*j^2*n - 1872*i*j^2*n + 3600*j^3*n - 252612*n^2 + 
     66735*i*n^2 - 3231*i^2*n^2 - 107010*j*n^2 + 7632*i*j*n^2 - 
     2340*j^2*n^2 - 37395*n^3 + 7479*i*n^3 - 14958*j*n^3)*f[i, 3 + j, n])/
   36 + ((6715416 - 2833732*i + 400708*i^2 - 20304*i^3 + 72*i^4 + 4089080*j - 
     975928*i*j + 51912*i^2*j + 1296*i^3*j + 359392*j^2 + 39456*i*j^2 - 
     10368*i^2*j^2 - 124128*j^3 + 23616*i*j^3 - 17280*j^4 + 4277652*n - 
     1570080*i*n + 175968*i^2*n - 6372*i^3*n + 2770944*j*n - 579060*i*j*n + 
     28764*i^2*j*n + 469800*j^2*n - 41184*i*j^2*n + 18288*j^3*n + 
     726282*n^2 - 211329*i*n^2 + 13203*i^2*n^2 + 396198*j*n^2 - 
     47520*i*j*n^2 + 42228*j^2*n^2 + 37395*n^3 - 7479*i*n^3 + 14958*j*n^3)*
    f[i, 3 + j, 2 + n])/576 + 
  ((-4032 + 2088*i - 398*i^2 + 33*i^3 - i^4 - 4176*j + 1592*i*j - 198*i^2*j + 
     8*i^3*j - 1592*j^2 + 396*i*j^2 - 24*i^2*j^2 - 264*j^3 + 32*i*j^3 - 
     16*j^4 - 1008*n + 438*i*n - 63*i^2*n + 3*i^3*n - 876*j*n + 252*i*j*n - 
     18*i^2*j*n - 252*j^2*n + 36*i*j^2*n - 24*j^3*n)*f[i, 4 + j, n])/2 + 
  ((-78750 - 148628*i + 34486*i^2 + 3960*i^3 - 252*i^4 + 37264*j - 
     20200*i*j - 25380*i^2*j - 36*i^3*j - 29936*j^2 + 31104*i*j^2 + 
     3024*i^2*j^2 + 5328*j^3 - 3600*i*j^3 - 576*j^4 - 44403*n - 230177*i*n + 
     30375*i^2*n + 1485*i^3*n + 131380*j*n + 7020*i*j*n - 10296*i^2*j*n - 
     80676*j^2*n + 8676*i*j^2*n + 10800*j^3*n + 13164*n^2 - 124092*i*n^2 + 
     6948*i^2*n^2 + 118044*j*n^2 + 7992*i*j*n^2 - 34056*j^2*n^2 + 7479*n^3 - 
     22437*i*n^3 + 29916*j*n^3)*f[1 + i, j, 1 + n])/72 + 
  ((-193728 + 649912*i + 268186*i^2 + 17568*i^3 - 1458*i^4 - 676976*j - 
     1077160*i*j - 182592*i^2*j + 2376*i^3*j + 927784*j^2 + 466416*i*j^2 + 
     17064*i^2*j^2 - 343008*j^3 - 50112*i*j^3 + 36288*j^4 - 200808*n + 
     642832*i*n + 191997*i^2*n + 9045*i^3*n - 729056*j*n - 751212*i*j*n - 
     74412*i^2*j*n + 657108*j^2*n + 175716*i*j^2*n - 126144*j^3*n - 
     68010*n^2 + 208854*i*n^2 + 32940*i^2*n^2 - 257652*j*n^2 - 
     127656*i*j*n^2 + 113832*j^2*n^2 - 7479*n^3 + 22437*i*n^3 - 29916*j*n^3)*
    f[1 + i, j, 3 + n])/1152 + 
  ((-552034 - 558484*i + 8150*i^2 + 17604*i^3 - 756*i^4 + 166744*j + 
     117304*i*j - 65880*i^2*j - 360*i^3*j + 43040*j^2 + 71136*i*j^2 + 
     10296*i^2*j^2 - 19584*j^3 - 12672*i*j^3 - 864*j^4 - 813033*n - 
     780725*i*n + 41625*i^2*n + 5877*i^3*n + 96792*j*n + 58896*i*j*n - 
     30456*i^2*j*n + 40716*j^2*n + 37188*i*j^2*n + 432*j^3*n - 371052*n^2 - 
     353862*i*n^2 + 15462*i^2*n^2 + 2664*j*n^2 + 3528*i*j*n^2 - 52353*n^3 - 
     52353*i*n^3)*f[1 + i, 1 + j, 1 + n])/72 + 
  ((2241416 + 2245064*i + 55094*i^2 + 50040*i^3 - 1854*i^4 - 425264*j - 
     523592*i*j - 103968*i^2*j - 10728*i^3*j + 103736*j^2 + 99216*i*j^2 + 
     8568*i^2*j^2 - 5472*j^3 - 11520*i*j^3 + 576*j^4 + 1962972*n + 
     1991680*i*n + 47115*i^2*n + 21735*i^3*n - 258312*j*n - 271908*i*j*n - 
     26460*i^2*j*n + 32364*j^2*n + 39564*i*j^2*n - 864*j^3*n + 555534*n^2 + 
     558288*i*n^2 + 4482*i^2*n^2 - 42552*j*n^2 - 43416*i*j*n^2 + 52353*n^3 + 
     52353*i*n^3)*f[1 + i, 1 + j, 3 + n])/1152 + 
  ((-131762 - 263556*i - 146206*i^2 + 25092*i^3 - 864*i^4 + 317128*j + 
     357432*i*j - 57312*i^2*j + 288*i^3*j - 51056*j^2 + 29952*i*j^2 + 
     8712*i^2*j^2 - 31392*j^3 - 10656*i*j^3 - 2016*j^4 - 458021*n - 
     559237*i*n - 65403*i^2*n + 8181*i^3*n + 299624*j*n + 248472*i*j*n - 
     26208*i^2*j*n + 25164*j^2*n + 19620*i*j^2*n + 144*j^3*n - 306012*n^2 - 
     308358*i*n^2 - 3690*i^2*n^2 + 43704*j*n^2 + 43992*i*j*n^2 - 52353*n^3 - 
     52353*i*n^3)*f[1 + i, 2 + j, 1 + n])/72 + 
  ((2910256 + 2582736*i - 222106*i^2 + 74592*i^3 - 4518*i^4 - 55520*j - 
     237192*i*j - 81072*i^2*j - 5544*i^3*j + 49528*j^2 - 37872*i*j^2 + 
     9144*i^2*j^2 + 11808*j^3 - 17856*i*j^3 + 2880*j^4 + 2386816*n + 
     2246120*i*n - 122913*i^2*n + 31095*i^3*n + 22352*j*n + 5076*i*j*n - 
     35388*i^2*j*n + 21420*j^2*n + 26316*i*j^2*n - 288*j^3*n + 610158*n^2 + 
     592560*i*n^2 - 16254*i^2*n^2 - 3816*j*n^2 - 4104*i*j*n^2 + 52353*n^3 + 
     52353*i*n^3)*f[1 + i, 2 + j, 3 + n])/1152 + 
  ((204426 + 206152*i - 114173*i^2 + 11448*i^3 - 333*i^4 + 20704*j + 
     188644*i*j - 19728*i^2*j + 432*i^3*j - 93468*j^2 + 5040*i*j^2 + 
     1872*i^2*j^2 - 22752*j^3 - 2016*i*j^3 - 1584*j^4 + 175893*n + 
     84186*i*n - 64773*i^2*n + 3510*i^3*n + 136038*j*n + 119088*i*j*n - 
     7074*i^2*j*n - 252*j^2*n + 288*i*j^2*n - 360*j^3*n + 1872*n^2 - 
     9846*i*n^2 - 9414*i^2*n^2 + 24984*j*n^2 + 24120*i*j*n^2 - 7479*n^3 - 
     7479*i*n^3)*f[1 + i, 3 + j, 1 + n])/72 + 
  ((954888 + 796456*i - 164414*i^2 + 3240*i^3 + 774*i^4 + 110800*j + 
     36712*i*j + 26496*i^2*j - 4536*i^3*j - 1560*j^2 - 76752*i*j^2 + 
     10728*i^2*j^2 + 11232*j^3 - 10368*i*j^3 + 1728*j^4 + 687684*n + 
     611664*i*n - 98703*i^2*n + 3429*i^3*n + 117336*j*n + 115524*i*j*n - 
     6228*i^2*j*n + 3492*j^2*n - 828*i*j^2*n + 864*j^3*n + 132750*n^2 + 
     124524*i*n^2 - 10530*i^2*n^2 + 14904*j*n^2 + 15768*i*j*n^2 + 7479*n^3 + 
     7479*i*n^3)*f[1 + i, 3 + j, 3 + n])/1152 + 
  ((-8484 + 2416*i - 179*i^2 + 8*i^3 - i^4 - 9200*j + 2236*i*j - 204*i^2*j + 
     12*i^3*j - 3756*j^2 + 720*i*j^2 - 48*i^2*j^2 - 688*j^3 + 80*i*j^3 - 
     48*j^4 - 1386*n - 201*i*n + 162*i^2*n - 15*i^3*n - 1110*j*n - 
     180*i*j*n + 54*i^2*j*n - 288*j^2*n - 36*i*j^2*n - 24*j^3*n)*
    f[1 + i, 4 + j, 1 + n])/8 + 
  ((-9910 + 8362*i + 1602*i^2 - 60*i^3 + 6*i^4 - 14024*j - 8568*i*j - 
     180*i^2*j - 48*i^3*j + 10728*j^2 + 1440*i*j^2 + 144*i^2*j^2 - 1680*j^3 - 
     192*i*j^3 + 96*j^4 - 20011*n + 17842*i*n + 2217*i^2*n - 48*i^3*n - 
     31364*j*n - 12648*i*j*n - 252*i^2*j*n + 16428*j^2*n + 1584*i*j^2*n - 
     1776*j^3*n - 12594*n^2 + 11985*i*n^2 + 609*i^2*n^2 - 22350*j*n^2 - 
     4056*i*j*n^2 + 5676*j^2*n^2 - 2493*n^3 + 2493*i*n^3 - 4986*j*n^3)*
    f[2 + i, j, n])/12 + ((79280 - 46884*i - 30116*i^2 - 2496*i^3 + 216*i^4 + 
     72168*j + 132056*i*j + 23832*i^2*j - 576*i^3*j - 143648*j^2 - 
     65376*i*j^2 - 1728*i^2*j^2 + 55392*j^3 + 6912*i*j^3 - 5760*j^4 + 
     76844*n - 53684*i*n - 21936*i^2*n - 1224*i^3*n + 95488*j*n + 
     96852*i*j*n + 10116*i^2*j*n - 105960*j^2*n - 25776*i*j^2*n + 
     20880*j^3*n + 24228*n^2 - 20295*i*n^2 - 3933*i^2*n^2 + 38970*j*n^2 + 
     17352*i*j*n^2 - 18972*j^2*n^2 + 2493*n^3 - 2493*i*n^3 + 4986*j*n^3)*
    f[2 + i, j, 2 + n])/192 + 
  ((-9910 + 8362*i + 1602*i^2 - 60*i^3 + 6*i^4 - 14024*j - 8568*i*j - 
     180*i^2*j - 48*i^3*j + 10728*j^2 + 1440*i*j^2 + 144*i^2*j^2 - 1680*j^3 - 
     192*i*j^3 + 96*j^4 - 20011*n + 17842*i*n + 2217*i^2*n - 48*i^3*n - 
     31364*j*n - 12648*i*j*n - 252*i^2*j*n + 16428*j^2*n + 1584*i*j^2*n - 
     1776*j^3*n - 12594*n^2 + 11985*i*n^2 + 609*i^2*n^2 - 22350*j*n^2 - 
     4056*i*j*n^2 + 5676*j^2*n^2 - 2493*n^3 + 2493*i*n^3 - 4986*j*n^3)*
    f[2 + i, 1 + j, n])/12 + 
  ((79280 - 40452*i - 20972*i^2 + 67368*j + 125816*i*j + 23256*i^2*j - 
     143552*j^2 - 66528*i*j^2 - 2304*i^2*j^2 + 56160*j^3 + 7680*i*j^3 - 
     6144*j^4 + 76844*n - 51164*i*n - 18192*i^2*n + 93136*j*n + 93396*i*j*n + 
     9108*i^2*j*n - 105960*j^2*n - 26064*i*j^2*n + 21072*j^3*n + 24228*n^2 - 
     20295*i*n^2 - 3933*i^2*n^2 + 38970*j*n^2 + 17352*i*j*n^2 - 
     18972*j^2*n^2 + 2493*n^3 - 2493*i*n^3 + 4986*j*n^3)*
    f[2 + i, 1 + j, 2 + n])/192 + 
  ((4*i + i^2 - 4*i^3 - i^4 - 8*j - 4*i*j + 24*i^2*j + 8*i^3*j + 4*j^2 - 
     48*i*j^2 - 24*i^2*j^2 + 32*j^3 + 32*i*j^3 - 16*j^4 + i*n - i^3*n - 
     2*j*n + 6*i^2*j*n - 12*i*j^2*n + 8*j^3*n)*f[3 + i, j, 1 + n])/8 + 
  ((-192 - 348*i - 191*i^2 - 36*i^3 - i^4 - 8*j - 4*i*j + 24*i^2*j + 
     8*i^3*j + 4*j^2 - 48*i*j^2 - 24*i^2*j^2 + 32*j^3 + 32*i*j^3 - 16*j^4 - 
     96*n - 175*i*n - 96*i^2*n - 17*i^3*n - 2*j*n + 6*i^2*j*n - 12*i*j^2*n + 
     8*j^3*n)*f[3 + i, 1 + j, 1 + n])/8, 
 (16*(207 + 64*i - 23*i^2 - 128*j + 92*i*j - 92*j^2 + 510*n + 43*i*n - 
     23*i^2*n - 86*j*n + 92*i*j*n - 92*j^2*n + 367*n^2 - 21*i*n^2 + 
     42*j*n^2 + 64*n^3)*f[i, j, n])/3 + 
  ((-6908 - 2602*i - 788*i^2 + 26*i^3 + 1132*j + 816*i*j - 84*i^2*j - 
     624*j^2 + 120*i*j^2 - 112*j^3 - 5132*n - 1133*i*n - 309*i^2*n + 
     682*j*n + 340*i*j*n - 180*j^2*n - 1311*n^2 - 87*i*n^2 + 102*j*n^2 - 
     128*n^3)*f[i, j, 2 + n])/3 + 
  ((2864 + 1452*i + 232*i^2 + 15*i^3 - 424*j - 20*i*j + 168*j^2 - 12*i*j^2 + 
     1332*n + 396*i*n + 26*i^2*n - 264*j*n + 8*i*j*n + 32*j^2*n + 236*n^2 + 
     27*i*n^2 - 36*j*n^2 + 16*n^3)*f[i, j, 4 + n])/12 + 
  (16*(-51 + 272*i - 45*i^2 - 544*j + 180*i*j - 180*j^2 + 390*n + 275*i*n - 
     45*i^2*n - 550*j*n + 180*i*j*n - 180*j^2*n + 561*n^2 + 3*i*n^2 - 
     6*j*n^2 + 120*n^3)*f[i, 1 + j, n])/3 + 
  ((-9916 - 1918*i - 948*i^2 - 34*i^3 - 76*j - 192*i*j + 132*i^2*j - 32*j^2 - 
     136*i*j^2 + 16*j^3 - 7672*n + 483*i*n - 503*i^2*n - 902*j*n + 
     332*i*j*n - 300*j^2*n - 1905*n^2 + 285*i*n^2 - 18*j*n^2 - 240*n^3)*
    f[i, 1 + j, 2 + n])/3 + 
  ((2128 + 200*i + 368*i^2 - 20*i^3 + 584*j - 170*i*j + 15*i^2*j + 152*j^2 - 
     14*i*j^2 + 892*n - 118*i*n + 83*i^2*n + 130*j*n - 26*i*j*n + 30*j^2*n + 
     168*n^2 - 36*i*n^2 + 3*j*n^2 + 15*n^3)*f[i, 1 + j, 4 + n])/6 + 
  (16*(-643 + 320*i - 29*i^2 - 640*j + 116*i*j - 116*j^2 - 610*n + 365*i*n - 
     29*i^2*n - 730*j*n + 116*i*j*n - 116*j^2*n + 89*n^2 + 45*i*n^2 - 
     90*j*n^2 + 56*n^3)*f[i, 2 + j, n])/3 + 
  ((-2436 - 3910*i + 468*i^2 - 74*i^3 + 4812*j - 2464*i*j + 300*i^2*j + 
     2048*j^2 - 424*i*j^2 + 240*j^3 - 5472*n - 243*i*n - 71*i^2*n - 506*j*n - 
     148*i*j*n + 20*j^2*n - 1281*n^2 + 87*i*n^2 - 78*j*n^2 - 112*n^3)*
    f[i, 2 + j, 2 + n])/3 + 
  ((4560 - 1316*i + 196*i^2 - 11*i^3 + 1592*j - 320*i*j + 30*i^2*j + 
     136*j^2 - 16*i*j^2 + 2036*n - 434*i*n + 30*i^2*n + 524*j*n - 60*i*j*n + 
     28*j^2*n + 298*n^2 - 33*i*n^2 + 42*j*n^2 + 14*n^3)*f[i, 2 + j, 4 + n])/
   12 - (112*(55 - 16*i + i^2 + 32*j - 4*i*j + 4*j^2 + 70*n - 19*i*n + 
     i^2*n + 38*j*n - 4*i*j*n + 4*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*
    f[i, 3 + j, n])/3 + (7*(1100 - 430*i + 52*i^2 - 2*i^3 + 860*j - 208*i*j + 
     12*i^2*j + 208*j^2 - 24*i*j^2 + 16*j^3 + 260*n - 77*i*n + 5*i^2*n + 
     154*j*n - 20*i*j*n + 20*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*
    f[i, 3 + j, 2 + n])/3 - 
  (8*(332 + 202*i - 46*i^2 - 8*i^3 + 68*j + 104*i*j + 32*i^2*j - 8*j^2 - 
     32*i*j^2 + 214*n + 207*i*n - 19*i^2*n - 50*j*n + 20*i*j*n + 44*j^2*n + 
     18*n^2 + 63*i*n^2 - 66*j*n^2)*f[1 + i, j, 1 + n])/3 + 
  ((792 + 1278*i + 395*i^2 + 34*i^3 - 900*j - 1012*i*j - 164*i^2*j + 
     756*j^2 + 296*i*j^2 - 176*j^3 + 242*n + 537*i*n + 97*i^2*n - 478*j*n - 
     284*i*j*n + 220*j^2*n + 18*n^2 + 63*i*n^2 - 66*j*n^2)*
    f[1 + i, j, 3 + n])/6 - 
  (8*(1233 + 837*i + i^2 - 23*i^3 - 248*j + 96*i*j + 92*i^2*j - 196*j^2 - 
     92*i*j^2 + 1490*n + 749*i*n - 41*i^2*n + 18*j*n + 108*i*j*n - 52*j^2*n + 
     481*n^2 + 156*i*n^2 + 18*j*n^2 + 40*n^3)*f[1 + i, 1 + j, 1 + n])/3 + 
  ((13836 + 7178*i + 844*i^2 + 57*i^3 + 300*j - 408*i*j + 32*i^2*j + 
     336*j^2 - 60*i*j^2 + 48*j^3 + 7876*n + 3193*i*n + 195*i^2*n + 206*j*n - 
     164*i*j*n + 140*j^2*n + 1401*n^2 + 372*i*n^2 - 6*j*n^2 + 80*n^3)*
    f[1 + i, 1 + j, 3 + n])/6 + 
  ((-2336 - 1452*i - 265*i^2 - 15*i^3 - 16*j + 86*i*j + 11*i^2*j - 80*j^2 - 
     10*i*j^2 - 892*n - 396*i*n - 37*i^2*n + 22*j*n + 14*i*j*n - 10*j^2*n - 
     115*n^2 - 27*i*n^2 + 3*j*n^2 - 5*n^3)*f[1 + i, 1 + j, 5 + n])/12 - 
  (8*(6 + 580*i + 180*i^2 - 22*i^3 - 900*j - 272*i*j + 88*i^2*j - 176*j^2 - 
     88*i*j^2 + 638*n + 695*i*n + 21*i^2*n - 350*j*n - 20*i*j*n - 44*j^2*n + 
     288*n^2 + 165*i*n^2 - 30*j*n^2 + 24*n^3)*f[1 + i, 2 + j, 1 + n])/3 + 
  ((8208 + 4526*i + 201*i^2 + 88*i^3 - 820*j + 556*i*j - 124*i^2*j - 
     524*j^2 + 160*i*j^2 - 80*j^3 + 5158*n + 1549*i*n + 81*i^2*n + 302*j*n - 
     52*i*j*n + 20*j^2*n + 912*n^2 + 165*i*n^2 + 42*j*n^2 + 48*n^3)*
    f[1 + i, 2 + j, 3 + n])/6 + 
  ((-640 - 16*i + 8*i^2 - 208*j - 18*i*j + i^2*j - 16*j^2 - 2*i*j^2 - 224*n - 
     2*i*n + i^2*n - 50*j*n - 2*i*j*n - 2*j^2*n - 26*n^2 - 3*j*n^2 - n^3)*
    f[1 + i, 2 + j, 5 + n])/4 + 
  (8*(655 + 115*i - 113*i^2 + 7*i^3 + 456*j + 200*i*j - 28*i^2*j + 52*j^2 + 
     28*i*j^2 + 270*n - 55*i*n - 25*i^2*n + 194*j*n + 44*i*j*n + 12*j^2*n + 
     15*n^2 - 30*i*n^2 + 18*j*n^2)*f[1 + i, 3 + j, 1 + n])/3 + 
  ((-1500 + 2270*i - 342*i^2 + 13*i^3 - 2020*j + 976*i*j - 64*i^2*j - 
     584*j^2 + 100*i*j^2 - 48*j^3 - 300*n + 527*i*n - 43*i^2*n - 382*j*n + 
     116*i*j*n - 60*j^2*n - 15*n^2 + 30*i*n^2 - 18*j*n^2)*
    f[1 + i, 3 + j, 3 + n])/6 + 
  (128*(-5 + 4*i + i^2 - 8*j - 4*i*j + 4*j^2 - 8*n + 7*i*n + i^2*n - 14*j*n - 
     4*i*j*n + 4*j^2*n - 3*n^2 + 3*i*n^2 - 6*j*n^2)*f[2 + i, j, n])/3 + 
  (8*(40 - 22*i - 16*i^2 - 2*i^3 + 44*j + 64*i*j + 12*i^2*j - 64*j^2 - 
     24*i*j^2 + 16*j^3 + 22*n - 17*i*n - 5*i^2*n + 34*j*n + 20*i*j*n - 
     20*j^2*n + 3*n^2 - 3*i*n^2 + 6*j*n^2)*f[2 + i, j, 2 + n])/3 + 
  (128*(-5 + 4*i + i^2 - 8*j - 4*i*j + 4*j^2 - 8*n + 7*i*n + i^2*n - 14*j*n - 
     4*i*j*n + 4*j^2*n - 3*n^2 + 3*i*n^2 - 6*j*n^2)*f[2 + i, 1 + j, n])/3 - 
  (8*(-1 + 59*i + 35*i^2 + 3*i^3 - 34*j - 96*i*j - 14*i^2*j + 64*j^2 + 
     24*i*j^2 - 16*j^3 + 28*i*n + 10*i^2*n - 10*j*n - 28*i*j*n + 20*j^2*n + 
     3*i*n^2)*f[2 + i, 1 + j, 2 + n])/3 + 
  ((160 + 52*i + 12*i^2 + i^3 + 288*j + 52*i*j + 2*i^2*j + 44*n + 7*i*n + 
     i^2*n + 84*j*n + 8*i*j*n + 3*n^2 + 6*j*n^2)*f[2 + i, 1 + j, 4 + n])/6 - 
  (16*(44 + 26*i + 2*i^2 + 34*n + 19*i*n + i^2*n + 6*n^2 + 3*i*n^2)*
    f[3 + i, 1 + j, 1 + n])/3 + 
  ((304 + 222*i + 39*i^2 + 2*i^3 + 86*n + 53*i*n + 5*i^2*n + 6*n^2 + 3*i*n^2)*
    f[3 + i, 1 + j, 3 + n])/3, 
 (8*(207 + 64*i - 23*i^2 - 128*j + 92*i*j - 92*j^2 + 510*n + 43*i*n - 
     23*i^2*n - 86*j*n + 92*i*j*n - 92*j^2*n + 367*n^2 - 21*i*n^2 + 
     42*j*n^2 + 64*n^3)*f[i, j, n])/3 + 
  ((-3324 - 566*i - 772*i^2 + 6*i^3 + 1004*j + 912*i*j - 4*i^2*j - 784*j^2 + 
     40*i*j^2 - 112*j^3 - 2876*n + 59*i*n - 317*i^2*n + 746*j*n + 372*i*j*n - 
     180*j^2*n - 975*n^2 + 93*i*n^2 + 102*j*n^2 - 128*n^3)*f[i, j, 2 + n])/
   6 + ((208 - 68*i + 24*i^2 - 5*i^3 - 208*j + 12*i*j + 10*i^2*j + 64*j^2 - 
     16*i*j^2 + 228*n - 52*i*n + 6*i^2*n - 124*j*n + 8*i*j*n + 16*j^2*n + 
     76*n^2 - 9*i*n^2 - 18*j*n^2 + 8*n^3)*f[i, j, 4 + n])/12 + 
  (8*(-51 + 272*i - 45*i^2 - 544*j + 180*i*j - 180*j^2 + 390*n + 275*i*n - 
     45*i^2*n - 550*j*n + 180*i*j*n - 180*j^2*n + 561*n^2 + 3*i*n^2 - 
     6*j*n^2 + 120*n^3)*f[i, 1 + j, n])/3 + 
  ((-6428 + 370*i - 740*i^2 - 66*i^3 - 1164*j - 480*i*j + 260*i^2*j - 
     288*j^2 - 264*i*j^2 + 16*j^3 - 4888*n + 1939*i*n - 471*i^2*n - 
     1030*j*n + 268*i*j*n - 300*j^2*n - 1425*n^2 + 525*i*n^2 - 18*j*n^2 - 
     240*n^3)*f[i, 1 + j, 2 + n])/6 + 
  ((160 - 792*i + 332*i^2 - 36*i^3 + 408*j - 226*i*j + 31*i^2*j + 120*j^2 - 
     30*i*j^2 + 232*n - 440*i*n + 87*i^2*n + 114*j*n - 34*i*j*n + 30*j^2*n + 
     108*n^2 - 66*i*n^2 + 3*j*n^2 + 15*n^3)*f[i, 1 + j, 4 + n])/12 + 
  (8*(-643 + 320*i - 29*i^2 - 640*j + 116*i*j - 116*j^2 - 610*n + 365*i*n - 
     29*i^2*n - 730*j*n + 116*i*j*n - 116*j^2*n + 89*n^2 + 45*i*n^2 - 
     90*j*n^2 + 56*n^3)*f[i, 2 + j, n])/3 + 
  ((-3180 - 3802*i + 684*i^2 - 86*i^3 + 3852*j - 2848*i*j + 348*i^2*j + 
     1952*j^2 - 472*i*j^2 + 240*j^3 - 5376*n - 99*i*n - 23*i^2*n - 698*j*n - 
     244*i*j*n + 20*j^2*n - 1209*n^2 + 123*i*n^2 - 78*j*n^2 - 112*n^3)*
    f[i, 2 + j, 2 + n])/6 + 
  (7*(240 - 124*i + 20*i^2 - i^3 + 88*j - 34*i*j + 3*i^2*j + 8*j^2 - 
     2*i*j^2 + 124*n - 40*i*n + 3*i^2*n + 34*j*n - 6*i*j*n + 2*j^2*n + 
     20*n^2 - 3*i*n^2 + 3*j*n^2 + n^3)*f[i, 2 + j, 4 + n])/12 - 
  (56*(55 - 16*i + i^2 + 32*j - 4*i*j + 4*j^2 + 70*n - 19*i*n + i^2*n + 
     38*j*n - 4*i*j*n + 4*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*f[i, 3 + j, n])/
   3 + (7*(1100 - 430*i + 52*i^2 - 2*i^3 + 860*j - 208*i*j + 12*i^2*j + 
     208*j^2 - 24*i*j^2 + 16*j^3 + 260*n - 77*i*n + 5*i^2*n + 154*j*n - 
     20*i*j*n + 20*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*f[i, 3 + j, 2 + n])/
   6 + (16*(-54*i + 8*i^2 + 2*i^3 - 10*j - 12*i*j - 8*i^2*j - 12*j^2 + 
     8*i*j^2 + 43*n - 58*i*n + 3*i^2*n + 25*j*n + 2*i*j*n - 18*j^2*n + 
     31*n^2 - 18*i*n^2 + 21*j*n^2 + 4*n^3)*f[1 + i, j, 1 + n])/3 + 
  ((-508 + 90*i + 35*i^2 + 10*i^3 + 62*j - 182*i*j - 46*i^2*j + 150*j^2 + 
     84*i*j^2 - 56*j^3 - 357*n + 78*i*n + 5*i^2*n - 7*j*n - 50*i*j*n + 
     50*j^2*n - 87*n^2 + 18*i*n^2 - 9*j*n^2 - 8*n^3)*f[1 + i, j, 3 + n])/3 + 
  ((96 - 8*i - 4*i^2 - 56*j + 10*i*j + i^2*j + 8*j^2 - 2*i*j^2 + 64*n - 
     2*i*n - i^2*n - 26*j*n + 2*i*j*n + 2*j^2*n + 14*n^2 - 3*j*n^2 + n^3)*
    f[1 + i, j, 5 + n])/12 - 
  (4*(713 + 727*i + 31*i^2 - 23*i^3 - 28*j - 24*i*j + 92*i^2*j - 76*j^2 - 
     92*i*j^2 + 758*n + 700*i*n - 26*i^2*n + 116*j*n + 48*i*j*n + 8*j^2*n + 
     165*n^2 + 159*i*n^2 + 12*j*n^2)*f[1 + i, 1 + j, 1 + n])/3 + 
  ((2956 + 2924*i + 289*i^2 + 83*i^3 + 320*j - 348*i*j - 68*i^2*j + 308*j^2 + 
     44*i*j^2 + 32*j^3 + 1360*n + 1322*i*n + 38*i^2*n + 76*j*n - 96*i*j*n + 
     40*j^2*n + 165*n^2 + 159*i*n^2 + 12*j*n^2)*f[1 + i, 1 + j, 3 + n])/12 + 
  (8*(-65 - 177*i - 101*i^2 + 11*i^3 + 224*j + 180*i*j - 44*i^2*j + 44*j^2 + 
     44*i*j^2 - 260*n - 276*i*n - 16*i^2*n + 32*j*n + 32*i*j*n - 75*n^2 - 
     75*i*n^2)*f[1 + i, 2 + j, 1 + n])/3 + 
  ((1828 + 1732*i - 57*i^2 + 39*i^3 + 304*j + 260*i*j - 44*i^2*j + 44*j^2 + 
     44*i*j^2 + 706*n + 690*i*n - 16*i^2*n + 32*j*n + 32*i*j*n + 75*n^2 + 
     75*i*n^2)*f[1 + i, 2 + j, 3 + n])/6 + 
  (28*(49 + 31*i - 17*i^2 + i^3 + 36*j + 32*i*j - 4*i^2*j + 4*j^2 + 4*i*j^2 + 
     6*n + 2*i*n - 4*i^2*n + 8*j*n + 8*i*j*n - 3*n^2 - 3*i*n^2)*
    f[1 + i, 3 + j, 1 + n])/3 + 
  (7*(180 + 152*i - 27*i^2 + i^3 + 56*j + 52*i*j - 4*i^2*j + 4*j^2 + 
     4*i*j^2 + 48*n + 44*i*n - 4*i^2*n + 8*j*n + 8*i*j*n + 3*n^2 + 3*i*n^2)*
    f[1 + i, 3 + j, 3 + n])/12 + 
  (64*(-5 + 4*i + i^2 - 8*j - 4*i*j + 4*j^2 - 8*n + 7*i*n + i^2*n - 14*j*n - 
     4*i*j*n + 4*j^2*n - 3*n^2 + 3*i*n^2 - 6*j*n^2)*f[2 + i, j, n])/3 + 
  (4*(-26 - 67*i - 6*i^2 - i^3 + 68*j + 48*i*j + 8*i^2*j - 72*j^2 - 
     20*i*j^2 + 16*j^3 - 18*n - 59*i*n - 3*i^2*n + 78*j*n + 20*i*j*n - 
     28*j^2*n - 3*n^2 - 12*i*n^2 + 18*j*n^2)*f[2 + i, j, 2 + n])/3 + 
  ((192 + 320*i + 78*i^2 + 5*i^3 - 448*j - 268*i*j - 28*i^2*j + 224*j^2 + 
     52*i*j^2 - 32*j^3 + 68*n + 108*i*n + 14*i^2*n - 148*j*n - 48*i*j*n + 
     40*j^2*n + 6*n^2 + 9*i*n^2 - 12*j*n^2)*f[2 + i, j, 4 + n])/12 + 
  (64*(-5 + 4*i + i^2 - 8*j - 4*i*j + 4*j^2 - 8*n + 7*i*n + i^2*n - 14*j*n - 
     4*i*j*n + 4*j^2*n - 3*n^2 + 3*i*n^2 - 6*j*n^2)*f[2 + i, 1 + j, n])/3 - 
  (4*(26 + 26*i + 18*i^2 + 2*i^3 + 14*j - 64*i*j - 10*i^2*j + 56*j^2 + 
     20*i*j^2 - 16*j^3 + 18*n + 17*i*n + 5*i^2*n + 6*j*n - 20*i*j*n + 
     20*j^2*n + 3*n^2 + 3*i*n^2)*f[2 + i, 1 + j, 2 + n])/3 + 
  ((96 - 2*i - i^2 + 100*j - i^2*j + 4*j^2 + 2*i*j^2 + 34*n + 34*j*n + 
     3*n^2 + 3*j*n^2)*f[2 + i, 1 + j, 4 + n])/6 + 
  (8*(18*i + 2*i^2 - 36*j - 8*i*j + 8*j^2 + 15*i*n + i^2*n - 30*j*n - 
     4*i*j*n + 4*j^2*n + 3*i*n^2 - 6*j*n^2)*f[3 + i, j, 1 + n])/3 + 
  ((-90*i - 27*i^2 - 2*i^3 + 180*j + 108*i*j + 12*i^2*j - 108*j^2 - 
     24*i*j^2 + 16*j^3 - 33*i*n - 5*i^2*n + 66*j*n + 20*i*j*n - 20*j^2*n - 
     3*i*n^2 + 6*j*n^2)*f[3 + i, j, 3 + n])/6 + 
  (16*(-22 - 4*i - 18*j - 4*i*j + 4*j^2 - 17*n - 2*i*n - 15*j*n - 2*i*j*n + 
     2*j^2*n - 3*n^2 - 3*j*n^2)*f[3 + i, 1 + j, 1 + n])/3 + 
  ((152 + 66*i + 6*i^2 + 90*j + 54*i*j + 6*i^2*j - 54*j^2 - 12*i*j^2 + 
     8*j^3 + 43*n + 10*i*n + 33*j*n + 10*i*j*n - 10*j^2*n + 3*n^2 + 3*j*n^2)*
    f[3 + i, 1 + j, 3 + n])/3, 
 ((326814 + 81206*i - 37336*i^2 + 1386*i^3 - 54*i^4 - 242764*j + 126304*i*j + 
     612*i^2*j + 432*i^3*j - 103264*j^2 - 19080*i*j^2 - 1296*i^2*j^2 + 
     24624*j^3 + 1728*i*j^3 - 864*j^4 + 930243*n + 67198*i*n - 48375*i^2*n + 
     846*i^3*n - 329660*j*n + 179964*i*j*n + 3852*i^2*j*n - 166428*j^2*n - 
     25560*i*j^2*n + 28944*j^3*n + 892328*n^2 - 29151*i*n^2 - 12933*i^2*n^2 - 
     79650*j*n^2 + 61236*i*j*n^2 - 70740*j^2*n^2 + 329715*n^3 - 17847*i*n^3 + 
     12654*j*n^3 + 39528*n^4)*f[i, j, n])/144 + 
  ((-5780280 - 1587532*i - 1143628*i^2 + 85464*i^3 - 2520*i^4 + 3827560*j + 
     1792448*i*j + 74880*i^2*j + 1296*i^3*j - 1737904*j^2 - 101952*i*j^2 + 
     6048*i^2*j^2 - 14400*j^3 - 14400*i*j^3 + 34560*j^4 - 7397228*n - 
     1097688*i*n - 974088*i^2*n + 35676*i^3*n + 3878424*j*n + 1301040*i*j*n + 
     23904*i^2*j*n - 1053072*j^2*n - 44064*i*j^2*n - 44064*j^3*n - 
     3694494*n^2 - 126495*i*n^2 - 203895*i^2*n^2 + 1251918*j*n^2 + 
     244764*i*j*n^2 - 137772*j^2*n^2 - 862011*n^3 + 20871*i*n^3 + 
     122922*j*n^3 - 79056*n^4)*f[i, j, 2 + n])/2304 + 
  ((585696 - 16512*i - 38742*i^2 + 702*i^3 + 216*i^4 - 591440*j + 91628*i*j + 
     18450*i^2*j - 1098*i^3*j + 181296*j^2 - 43020*i*j^2 - 576*i^2*j^2 - 
     15840*j^3 + 3960*i*j^3 + 725024*n - 14144*i*n - 27873*i^2*n + 
     234*i^3*n - 551780*j*n + 63774*i*j*n + 6885*i^2*j*n + 110052*j^2*n - 
     15606*i*j^2*n - 3960*j^3*n + 331742*n^2 - 4014*i*n^2 - 5013*i^2*n^2 - 
     168768*j*n^2 + 11160*i*j*n^2 + 16182*j^2*n^2 + 66537*n^3 - 378*i*n^3 - 
     16947*j*n^3 + 4941*n^4)*f[i, j, 4 + n])/4608 + 
  ((-36846 + 218790*i - 46920*i^2 + 2322*i^3 - 90*i^4 - 429372*j + 
     133536*i*j - 4860*i^2*j + 720*i^3*j - 79392*j^2 - 8424*i*j^2 - 
     2160*i^2*j^2 + 17712*j^3 + 2880*i*j^3 - 1440*j^4 + 321087*n + 
     274024*i*n - 53829*i^2*n + 1026*i^3*n - 631856*j*n + 161604*i*j*n + 
     2916*i^2*j*n - 107892*j^2*n - 23976*i*j^2*n + 28080*j^3*n + 583775*n^2 + 
     69534*i*n^2 - 14067*i^2*n^2 - 255276*j*n^2 + 56700*i*j*n^2 - 
     57132*j^2*n^2 + 282366*n^3 - 3600*i*n^3 - 16992*j*n^3 + 39528*n^4)*
    f[i, 1 + j, n])/72 + ((-4779100 + 682388*i - 679864*i^2 - 16164*i^3 + 
     1404*i^4 - 183160*j - 219056*i*j + 300024*i^2*j + 1728*i^3*j - 
     219552*j^2 - 114480*i*j^2 - 24480*i^2*j^2 + 45216*j^3 + 29952*i*j^3 + 
     1728*j^4 - 5538564*n + 1962946*i*n - 732132*i^2*n - 1458*i^3*n - 
     554412*j*n - 79200*i*j*n + 130788*i^2*j*n - 289008*j^2*n - 
     102456*i*j^2*n + 36720*j^3*n - 2533911*n^2 + 1141290*i*n^2 - 
     180873*i^2*n^2 - 113220*j*n^2 + 29556*i*j*n^2 - 103860*j^2*n^2 - 
     633906*n^3 + 185076*i*n^3 + 33984*j*n^3 - 79056*n^4)*f[i, 1 + j, 2 + n])/
   1152 + ((-21760 - 1218952*i + 604034*i^2 - 84348*i^3 + 2466*i^4 + 
     602336*j - 183560*i*j - 21276*i^2*j + 7380*i^3*j + 109152*j^2 - 
     6840*i*j^2 - 5112*i^2*j^2 - 31680*j^3 + 7920*i*j^3 + 222312*n - 
     1207920*i*n + 397989*i^2*n - 30537*i^3*n + 349880*j*n - 82260*i*j*n - 
     1332*i^2*j*n + 109224*j^2*n - 15372*i*j^2*n - 7920*j^3*n + 250366*n^2 - 
     401526*i*n^2 + 63558*i^2*n^2 + 32832*j*n^2 - 1800*i*j*n^2 + 
     20484*j^2*n^2 + 87885*n^3 - 45369*i*n^3 - 4248*j*n^3 + 9882*n^4)*
    f[i, 1 + j, 4 + n])/4608 + 
  ((-1133232 + 646930*i - 97547*i^2 + 6210*i^3 - 225*i^4 - 1022852*j + 
     254252*i*j - 24876*i^2*j + 1800*i^3*j - 118316*j^2 + 24984*i*j^2 - 
     5400*i^2*j^2 - 144*j^3 + 7200*i*j^3 - 3600*j^4 - 1345020*n + 
     813316*i*n - 86760*i^2*n + 1872*i^3*n - 1377224*j*n + 192960*i*j*n + 
     1152*i^2*j*n - 38880*j^2*n - 27072*i*j^2*n + 34560*j^3*n - 229462*n^2 + 
     299826*i*n^2 - 21312*i^2*n^2 - 646596*j*n^2 + 67104*i*j*n^2 - 
     48960*j^2*n^2 + 160902*n^3 + 25470*i*n^3 - 76284*j*n^3 + 39528*n^4)*
    f[i, 2 + j, n])/144 + ((-3061156 - 2840288*i + 638596*i^2 - 85644*i^3 + 
     2484*i^4 + 3478824*j - 1821912*i*j + 256896*i^2*j + 3528*i^3*j + 
     1105616*j^2 - 30384*i*j^2 - 39168*i^2*j^2 - 53568*j^3 + 60192*i*j^3 - 
     31680*j^4 - 6106580*n - 1042754*i*n + 199944*i^2*n - 28890*i^3*n + 
     1159560*j*n - 1067256*i*j*n + 130608*i^2*j*n + 719640*j^2*n - 
     121536*i*j^2*n + 78480*j^3*n - 2992383*n^2 + 138141*i*n^2 - 
     15372*i^2*n^2 - 202194*j*n^2 - 92304*i*j*n^2 + 7272*j^2*n^2 - 
     521595*n^3 + 48645*i*n^3 - 12654*j*n^3 - 39528*n^4)*f[i, 2 + j, 2 + n])/
   1152 + ((2952800 - 1642744*i + 305408*i^2 - 21906*i^3 + 522*i^4 + 
     623536*j - 227668*i*j + 15714*i^2*j + 558*i^3*j - 72144*j^2 + 
     36180*i*j^2 - 4536*i^2*j^2 - 15840*j^3 + 3960*i*j^3 + 2703304*n - 
     1158772*i*n + 154098*i^2*n - 6507*i^3*n + 616540*j*n - 181674*i*j*n + 
     11583*i^2*j*n - 828*j^2*n + 234*i*j^2*n - 3960*j^3*n + 853364*n^2 - 
     242478*i*n^2 + 16389*i^2*n^2 + 165960*j*n^2 - 24840*i*j*n^2 + 
     4302*j^2*n^2 + 110286*n^3 - 15345*i*n^3 + 12699*j*n^3 + 4941*n^4)*
    f[i, 2 + j, 4 + n])/4608 + 
  ((-283554 + 116958*i - 17452*i^2 + 1290*i^3 - 42*i^4 - 175836*j + 
     52912*i*j - 6684*i^2*j + 336*i^3*j - 36016*j^2 + 11256*i*j^2 - 
     1008*i^2*j^2 - 6096*j^3 + 1344*i*j^3 - 672*j^4 - 364413*n + 116078*i*n - 
     9915*i^2*n + 258*i^3*n - 158236*j*n + 19596*i*j*n - 492*i^2*j*n + 
     468*j^2*n - 1128*i*j^2*n + 2160*j^3*n - 168228*n^2 + 43869*i*n^2 - 
     2037*i^2*n^2 - 71898*j*n^2 + 4980*i*j*n^2 - 1812*j^2*n^2 - 24705*n^3 + 
     4941*i*n^3 - 9882*j*n^3)*f[i, 3 + j, n])/48 + 
  ((4571592 - 1891612*i + 253252*i^2 - 10632*i^3 - 120*i^4 + 2861816*j - 
     661168*i*j + 27888*i^2*j + 1632*i^3*j + 304144*j^2 + 22080*i*j^2 - 
     7776*i^2*j^2 - 70656*j^3 + 15360*i*j^3 - 10752*j^4 + 2860332*n - 
     1037920*i*n + 113952*i^2*n - 3996*i^3*n + 1865216*j*n - 383424*i*j*n + 
     18408*i^2*j*n + 321408*j^2*n - 27408*i*j^2*n + 13152*j^3*n + 
     481158*n^2 - 139395*i*n^2 + 8625*i^2*n^2 + 262950*j*n^2 - 
     31332*i*j*n^2 + 28164*j^2*n^2 + 24705*n^3 - 4941*i*n^3 + 9882*j*n^3)*
    f[i, 3 + j, 2 + n])/768 - 
  (3*(4368 - 2234*i + 419*i^2 - 34*i^3 + i^4 + 4468*j - 1676*i*j + 
     204*i^2*j - 8*i^3*j + 1676*j^2 - 408*i*j^2 + 24*i^2*j^2 + 272*j^3 - 
     32*i*j^3 + 16*j^4 + 1344*n - 584*i*n + 84*i^2*n - 4*i^3*n + 1168*j*n - 
     336*i*j*n + 24*i^2*j*n + 336*j^2*n - 48*i*j^2*n + 32*j^3*n)*
    f[i, 4 + j, n])/16 + ((-161298 - 305852*i + 67288*i^2 + 8460*i^3 - 
     342*i^4 + 76300*j - 44772*i*j - 51228*i^2*j - 684*i^3*j - 60952*j^2 + 
     61920*i*j^2 + 6552*i^2*j^2 + 8784*j^3 - 7056*i*j^3 - 1152*j^4 - 
     90117*n - 466605*i*n + 58653*i^2*n + 2997*i^3*n + 267756*j*n + 
     10296*i*j*n - 19548*i^2*j*n - 158436*j^2*n + 15732*i*j^2*n + 
     20448*j^3*n + 26604*n^2 - 248652*i*n^2 + 13140*i^2*n^2 + 238104*j*n^2 + 
     15012*i*j*n^2 - 65304*j^2*n^2 + 14823*n^3 - 44469*i*n^3 + 59292*j*n^3)*
    f[1 + i, j, 1 + n])/288 + 
  ((-390720 + 1320088*i + 555946*i^2 + 40752*i^3 - 2898*i^4 - 1387376*j - 
     2181864*i*j - 378396*i^2*j + 4716*i^3*j + 1863464*j^2 + 928944*i*j^2 + 
     32040*i^2*j^2 - 670320*j^3 - 93168*i*j^3 + 66816*j^4 - 401736*n + 
     1293120*i*n + 390573*i^2*n + 19701*i^3*n - 1473408*j*n - 1501956*i*j*n - 
     151380*i^2*j*n + 1303380*j^2*n + 346068*i*j^2*n - 244224*j^3*n - 
     135306*n^2 + 416646*i*n^2 + 65916*i^2*n^2 - 514800*j*n^2 - 
     252180*i*j*n^2 + 223416*j^2*n^2 - 14823*n^3 + 44469*i*n^3 - 59292*j*n^3)*
    f[1 + i, j, 3 + n])/4608 + 
  ((-1119626 - 1148216*i + 3864*i^2 + 36864*i^3 - 1350*i^4 + 323708*j + 
     230116*i*j - 143316*i^2*j - 252*i^3*j + 77848*j^2 + 164304*i*j^2 + 
     16056*i^2*j^2 - 50256*j^3 - 18000*i*j^3 - 4608*j^4 - 1640285*n - 
     1591511*i*n + 78165*i^2*n + 11727*i^3*n + 184756*j*n + 90648*i*j*n - 
     59292*i^2*j*n + 85500*j^2*n + 71100*i*j^2*n + 1152*j^3*n - 743556*n^2 - 
     709254*i*n^2 + 28926*i^2*n^2 + 1188*j*n^2 + 3492*i*j*n^2 - 103761*n^3 - 
     103761*i*n^3)*f[1 + i, 1 + j, 1 + n])/288 + 
  ((4563496 + 4618024*i + 143070*i^2 + 101880*i^3 - 2790*i^4 - 805888*j - 
     980408*i*j - 200052*i^2*j - 20412*i^3*j + 216952*j^2 + 178416*i*j^2 + 
     17784*i^2*j^2 + 8496*j^3 - 26064*i*j^3 + 4608*j^4 + 3951964*n + 
     4023808*i*n + 103419*i^2*n + 42327*i^3*n - 493160*j*n - 500580*i*j*n - 
     53244*i^2*j*n + 56700*j^2*n + 79740*i*j^2*n - 2304*j^3*n + 1109190*n^2 + 
     1114416*i*n^2 + 10602*i^2*n^2 - 80244*j*n^2 - 82548*i*j*n^2 + 
     103761*n^3 + 103761*i*n^3)*f[1 + i, 1 + j, 3 + n])/4608 + 
  ((-269074 - 517368*i - 318760*i^2 + 51984*i^3 - 1710*i^4 + 607820*j + 
     777940*i*j - 137412*i^2*j + 1908*i^3*j - 137992*j^2 + 107856*i*j^2 + 
     11160*i^2*j^2 - 81936*j^3 - 12816*i*j^3 - 6912*j^4 - 914901*n - 
     1150847*i*n - 134883*i^2*n + 15687*i^3*n + 602388*j*n + 476280*i*j*n - 
     51228*i^2*j*n + 54684*j^2*n + 39708*i*j^2*n - 612396*n^2 - 
     619254*i*n^2 - 9162*i^2*n^2 + 83988*j*n^2 + 83988*i*j*n^2 - 103761*n^3 - 
     103761*i*n^3)*f[1 + i, 2 + j, 1 + n])/288 + 
  ((5879792 + 5309328*i - 385834*i^2 + 148752*i^3 - 7974*i^4 - 25792*j - 
     426776*i*j - 137844*i^2*j - 12060*i^3*j + 155480*j^2 - 105840*i*j^2 + 
     24120*i^2*j^2 + 49968*j^3 - 42192*i*j^3 + 9216*j^4 + 4778400*n + 
     4535272*i*n - 232209*i^2*n + 62631*i^3*n + 63504*j*n + 48276*i*j*n - 
     72828*i^2*j*n + 42876*j^2*n + 54396*i*j^2*n + 1215198*n^2 + 
     1182528*i*n^2 - 30366*i^2*n^2 - 4932*j*n^2 - 4932*i*j*n^2 + 103761*n^3 + 
     103761*i*n^3)*f[1 + i, 2 + j, 3 + n])/4608 + 
  ((386898 + 475616*i - 251708*i^2 + 25200*i^3 - 774*i^4 - 14716*j + 
     463916*i*j - 58644*i^2*j + 2052*i^3*j - 231464*j^2 + 46224*i*j^2 - 
     72*i^2*j^2 - 59472*j^3 + 432*i*j^3 - 4608*j^4 + 358569*n + 163427*i*n - 
     128961*i^2*n + 6597*i^3*n + 276044*j*n + 239256*i*j*n - 14004*i^2*j*n - 
     684*j^2*n + 2196*i*j^2*n - 1152*j^3*n + 4344*n^2 - 20790*i*n^2 - 
     18990*i^2*n^2 + 49788*j*n^2 + 47484*i*j*n^2 - 14823*n^3 - 14823*i*n^3)*
    f[1 + i, 3 + j, 1 + n])/288 + 
  ((1904808 + 1639400*i - 294182*i^2 - 3960*i^3 + 2286*i^4 + 257792*j + 
     68120*i*j + 78372*i^2*j - 12276*i^3*j + 31336*j^2 - 171504*i*j^2 + 
     26280*i^2*j^2 + 33552*j^3 - 24048*i*j^3 + 4608*j^4 + 1361220*n + 
     1234112*i*n - 190719*i^2*n + 6021*i^3*n + 234824*j*n + 235764*i*j*n - 
     10836*i^2*j*n + 9684*j^2*n - 1836*i*j^2*n + 2304*j^3*n + 262470*n^2 + 
     248076*i*n^2 - 20538*i^2*n^2 + 29268*j*n^2 + 31572*i*j*n^2 + 14823*n^3 + 
     14823*i*n^3)*f[1 + i, 3 + j, 3 + n])/4608 + 
  ((-4956 + 2038*i - 358*i^2 + 38*i^3 - 2*i^4 - 5588*j + 1900*i*j - 
     264*i^2*j + 16*i^3*j - 2368*j^2 + 600*i*j^2 - 48*i^2*j^2 - 448*j^3 + 
     64*i*j^3 - 32*j^4 - 798*n - 47*i*n + 72*i^2*n - 7*i^3*n - 662*j*n - 
     54*i*j*n + 24*i^2*j*n - 180*j^2*n - 12*i*j^2*n - 16*j^3*n)*
    f[1 + i, 4 + j, 1 + n])/8 + 
  ((-60690 + 50636*i + 10463*i^2 - 216*i^3 - 9*i^4 - 86872*j - 53372*i*j - 
     1584*i^2*j + 72*i^3*j + 64892*j^2 + 8928*i*j^2 - 216*i^2*j^2 - 
     9792*j^3 + 288*i*j^3 - 144*j^4 - 121809*n + 107898*i*n + 14301*i^2*n - 
     198*i^3*n - 192756*j*n - 77364*i*j*n - 1692*i^2*j*n + 97524*j^2*n + 
     9144*i*j^2*n - 9936*j^3*n - 75942*n^2 + 72099*i*n^2 + 3843*i^2*n^2 - 
     135558*j*n^2 - 24012*i*j*n^2 + 32652*j^2*n^2 - 14823*n^3 + 14823*i*n^3 - 
     29646*j*n^3)*f[2 + i, j, n])/144 + 
  ((485520 - 279340*i - 182452*i^2 - 15264*i^3 + 1584*i^4 + 443480*j + 
     795760*i*j + 141984*i^2*j - 5184*i^3*j - 861712*j^2 - 383904*i*j^2 - 
     6048*i^2*j^2 + 321984*j^3 + 35712*i*j^3 - 31104*j^4 + 464676*n - 
     323028*i*n - 133776*i^2*n - 8064*i^3*n + 582696*j*n + 584064*i*j*n + 
     62784*i^2*j*n - 633024*j^2*n - 154368*i*j^2*n + 122112*j^3*n + 
     145116*n^2 - 121509*i*n^2 - 23607*i^2*n^2 + 234378*j*n^2 + 
     103068*i*j*n^2 - 111708*j^2*n^2 + 14823*n^3 - 14823*i*n^3 + 29646*j*n^3)*
    f[2 + i, j, 2 + n])/2304 + 
  ((-60690 + 50636*i + 10463*i^2 - 216*i^3 - 9*i^4 - 86872*j - 53372*i*j - 
     1584*i^2*j + 72*i^3*j + 64892*j^2 + 8928*i*j^2 - 216*i^2*j^2 - 
     9792*j^3 + 288*i*j^3 - 144*j^4 - 121809*n + 107898*i*n + 14301*i^2*n - 
     198*i^3*n - 192756*j*n - 77364*i*j*n - 1692*i^2*j*n + 97524*j^2*n + 
     9144*i*j^2*n - 9936*j^3*n - 75942*n^2 + 72099*i*n^2 + 3843*i^2*n^2 - 
     135558*j*n^2 - 24012*i*j*n^2 + 32652*j^2*n^2 - 14823*n^3 + 14823*i*n^3 - 
     29646*j*n^3)*f[2 + i, 1 + j, n])/144 + 
  ((485520 - 239308*i - 125572*i^2 + 418712*j + 769840*i*j + 145440*i^2*j - 
     871504*j^2 - 401184*i*j^2 - 12960*i^2*j^2 + 331200*j^3 + 42624*i*j^3 - 
     33408*j^4 + 464676*n - 306900*i*n - 109584*i^2*n + 568872*j*n + 
     563328*i*j*n + 55872*i^2*j*n - 633024*j^2*n - 154368*i*j^2*n + 
     122112*j^3*n + 145116*n^2 - 121509*i*n^2 - 23607*i^2*n^2 + 
     234378*j*n^2 + 103068*i*j*n^2 - 111708*j^2*n^2 + 14823*n^3 - 
     14823*i*n^3 + 29646*j*n^3)*f[2 + i, 1 + j, 2 + n])/2304 + 
  ((-4*i - 8*i^2 - 5*i^3 - i^4 + 8*j + 30*i*j + 27*i^2*j + 7*i^3*j - 28*j^2 - 
     48*i*j^2 - 18*i^2*j^2 + 28*j^3 + 20*i*j^3 - 8*j^4)*f[3 + i, j, 1 + n])/
   4 + ((-192 - 362*i - 213*i^2 - 46*i^3 - 3*i^4 + 20*j + 76*i*j + 72*i^2*j + 
     20*i^3*j - 68*j^2 - 120*i*j^2 - 48*i^2*j^2 + 64*j^3 + 48*i*j^3 - 
     16*j^4 - 96*n - 176*i*n - 96*i^2*n - 16*i^3*n)*f[3 + i, 1 + j, 1 + n])/
   16 + ((6*i + 11*i^2 + 6*i^3 + i^4 - 12*j - 44*i*j - 36*i^2*j - 8*i^3*j + 
     44*j^2 + 72*i*j^2 + 24*i^2*j^2 - 48*j^3 - 32*i*j^3 + 16*j^4)*
    f[4 + i, j, n])/16 + ((6*i + 11*i^2 + 6*i^3 + i^4 - 12*j - 44*i*j - 
     36*i^2*j - 8*i^3*j + 44*j^2 + 72*i*j^2 + 24*i^2*j^2 - 48*j^3 - 
     32*i*j^3 + 16*j^4)*f[4 + i, 1 + j, n])/16, 
 ((168076 + 35162*i - 22822*i^2 + 1566*i^3 + 9*i^4 - 153456*j + 66376*i*j - 
     144*i^2*j - 72*i^3*j - 41032*j^2 - 18648*i*j^2 + 216*i^2*j^2 + 
     25056*j^3 - 288*i*j^3 + 144*j^4 + 492660*n + 20462*i*n - 30429*i^2*n + 
     1638*i^3*n - 245268*j*n + 107064*i*j*n - 576*i^2*j*n - 91116*j^2*n - 
     17784*i*j^2*n + 24480*j^3*n + 493572*n^2 - 28746*i*n^2 - 7398*i^2*n^2 - 
     89064*j*n^2 + 39852*i*j*n^2 - 49248*j^2*n^2 + 193356*n^3 - 13788*i*n^3 + 
     2232*j*n^3 + 24480*n^4)*f[i, j, n])/36 + 
  ((-1481392 - 325748*i - 265796*i^2 + 35703*i^3 - 1017*i^4 + 1208232*j + 
     466436*i*j + 51408*i^2*j + 378*i^3*j - 533864*j^2 - 78948*i*j^2 + 
     648*i^2*j^2 + 47952*j^3 - 3384*i*j^3 + 16272*j^4 - 2018892*n - 
     243218*i*n - 267534*i^2*n + 15480*i^3*n + 1247136*j*n + 353880*i*j*n + 
     18864*i^2*j*n - 358416*j^2*n - 33588*i*j^2*n - 4536*j^3*n - 
     1054734*n^2 - 18423*i*n^2 - 63621*i^2*n^2 + 421740*j*n^2 + 
     71082*i*j*n^2 - 48528*j^2*n^2 - 256086*n^3 + 9198*i*n^3 + 43668*j*n^3 - 
     24480*n^4)*f[i, j, 2 + n])/288 + 
  ((8256 - 768*i - 516*i^2 + 48*i^3 - 9568*j + 1672*i*j + 244*i^2*j - 
     16*i^3*j + 3616*j^2 - 808*i*j^2 - 24*i^2*j^2 - 448*j^3 + 112*i*j^3 + 
     10960*n - 640*i*n - 427*i^2*n + 16*i^3*n - 9424*j*n + 1206*i*j*n + 
     109*i^2*j*n + 2256*j^2*n - 314*i*j^2*n - 112*j^3*n + 5292*n^2 - 
     176*i*n^2 - 85*i^2*n^2 - 3002*j*n^2 + 218*i*j*n^2 + 338*j^2*n^2 + 
     1107*n^3 - 16*i*n^3 - 311*j*n^3 + 85*n^4)*f[i, j, 4 + n])/32 + 
  ((-35868 + 223602*i - 56518*i^2 + 3249*i^3 + 9*i^4 - 428448*j + 
     112312*i*j - 522*i^2*j - 72*i^3*j + 1448*j^2 - 36900*i*j^2 + 
     216*i^2*j^2 + 49896*j^3 - 288*i*j^3 + 144*j^4 + 315064*n + 300364*i*n - 
     74925*i^2*n + 3303*i^3*n - 771728*j*n + 186048*i*j*n - 846*i^2*j*n - 
     72396*j^2*n - 36252*i*j^2*n + 49464*j^3*n + 632652*n^2 + 68418*i*n^2 - 
     18414*i^2*n^2 - 376992*j*n^2 + 73764*i*j*n^2 - 73872*j^2*n^2 + 
     331632*n^3 - 8928*i*n^3 - 32544*j*n^3 + 48960*n^4)*f[i, 1 + j, n])/36 + 
  ((-2463888 + 426356*i - 349192*i^2 + 6003*i^3 + 2097*i^4 + 348952*j - 
     171284*i*j + 222912*i^2*j - 522*i^3*j - 10856*j^2 - 37044*i*j^2 - 
     23472*i^2*j^2 + 47664*j^3 + 32184*i*j^3 + 144*j^4 - 3064708*n + 
     1091218*i*n - 444078*i^2*n + 6984*i^3*n + 17544*j*n - 189504*i*j*n + 
     103248*i^2*j*n - 76464*j^2*n - 77148*i*j^2*n + 39960*j^3*n - 
     1470630*n^2 + 682335*i*n^2 - 121257*i^2*n^2 + 1008*j*n^2 - 
     11970*i*j*n^2 - 60984*j^2*n^2 - 374472*n^3 + 119088*i*n^3 + 
     32544*j*n^3 - 48960*n^4)*f[i, 1 + j, 2 + n])/288 + 
  ((-154480*i + 83764*i^2 - 14130*i^3 + 711*i^4 + 73984*j + 440*i*j - 
     12546*i^2*j + 1953*i^3*j + 576*j^2 + 5616*i*j^2 - 1440*i^2*j^2 - 
     8064*j^3 + 2016*i*j^3 + 30960*n - 168868*i*n + 61173*i^2*n - 
     5526*i^3*n + 44920*j*n + 72*i*j*n - 2439*i^2*j*n + 12384*j^2*n - 
     1620*i*j^2*n - 2016*j^3*n + 35424*n^2 - 60084*i*n^2 + 10449*i^2*n^2 + 
     2538*j*n^2 + 1503*i*j*n^2 + 3060*j^2*n^2 + 13041*n^3 - 7164*i*n^3 - 
     1017*j*n^3 + 1530*n^4)*f[i, 1 + j, 4 + n])/288 + 
  ((-543620 + 322382*i - 50402*i^2 + 2421*i^3 - 9*i^4 - 365728*j + 
     61928*i*j - 1818*i^2*j + 72*i^3*j + 77752*j^2 - 21780*i*j^2 - 
     216*i^2*j^2 + 31464*j^3 + 288*i*j^3 - 144*j^4 - 765840*n + 481444*i*n - 
     63783*i^2*n + 2187*i^3*n - 704048*j*n + 96552*i*j*n - 414*i^2*j*n + 
     62028*j^2*n - 24588*i*j^2*n + 33336*j^3*n - 167964*n^2 + 181350*i*n^2 - 
     15534*i^2*n^2 - 408528*j*n^2 + 43236*i*j*n^2 - 24336*j^2*n^2 + 
     91224*n^3 + 13752*i*n^3 - 53136*j*n^3 + 24480*n^4)*f[i, 2 + j, n])/36 + 
  ((-1582608 - 1399260*i + 424628*i^2 - 63063*i^3 + 3537*i^4 + 1989848*j - 
     785412*i*j + 162504*i^2*j - 1890*i^3*j + 293672*j^2 + 123588*i*j^2 - 
     30168*i^2*j^2 - 162000*j^3 + 55800*i*j^3 - 32400*j^4 - 3208028*n - 
     568546*i*n + 130446*i^2*n - 17244*i^3*n + 1163208*j*n - 643680*i*j*n + 
     86976*i^2*j*n + 504432*j^2*n - 65196*i*j^2*n + 48600*j^3*n - 
     1733658*n^2 + 95301*i*n^2 - 11385*i^2*n^2 - 37800*j*n^2 - 
     63810*i*j*n^2 + 11880*j^2*n^2 - 314604*n^3 + 32148*i*n^3 - 1944*j*n^3 - 
     24480*n^4)*f[i, 2 + j, 2 + n])/288 + 
  ((370240 - 225328*i + 48456*i^2 - 4392*i^3 + 144*i^4 + 14944*j - 2512*i*j - 
     630*i^2*j + 81*i^3*j - 31968*j^2 + 12888*i*j^2 - 1224*i^2*j^2 - 
     4032*j^3 + 1008*i*j^3 + 374368*n - 173916*i*n + 25596*i^2*n - 
     1197*i^3*n + 57160*j*n - 19854*i*j*n + 1620*i^2*j*n - 7920*j^2*n + 
     1206*i*j^2*n - 1008*j^3*n + 125460*n^2 - 38016*i*n^2 + 2727*i^2*n^2 + 
     20484*j*n^2 - 3483*i*j*n^2 + 18*j^2*n^2 + 16812*n^3 - 2439*i*n^3 + 
     1782*j*n^3 + 765*n^4)*f[i, 2 + j, 4 + n])/288 + 
  ((-712296 + 285748*i - 37210*i^2 + 1845*i^3 - 27*i^4 - 219056*j + 
     46312*i*j - 4662*i^2*j + 216*i^3*j + 56216*j^2 - 3492*i*j^2 - 
     648*i^2*j^2 + 10872*j^3 + 864*i*j^3 - 432*j^4 - 1176888*n + 405810*i*n - 
     39789*i^2*n + 1143*i^3*n - 363060*j*n + 37404*i*j*n - 450*i^2*j*n + 
     84348*j^2*n - 11916*i*j^2*n + 16488*j^3*n - 606456*n^2 + 168660*i*n^2 - 
     9468*i^2*n^2 - 241200*j*n^2 + 18648*i*j*n^2 + 576*j^2*n^2 - 91800*n^3 + 
     18360*i*n^3 - 36720*j*n^3)*f[i, 3 + j, n])/72 + 
  ((3399552 - 1625804*i + 276656*i^2 - 19899*i^3 + 495*i^4 + 1542760*j - 
     437996*i*j + 39384*i^2*j - 990*i^3*j - 229336*j^2 + 81684*i*j^2 - 
     6048*i^2*j^2 - 161712*j^3 + 20232*i*j^3 - 16272*j^4 + 2478444*n - 
     963210*i*n + 115974*i^2*n - 4464*i^3*n + 1521888*j*n - 342216*i*j*n + 
     18720*i^2*j*n + 222480*j^2*n - 21636*i*j^2*n + 4104*j^3*n + 442314*n^2 - 
     130905*i*n^2 + 8487*i^2*n^2 + 237780*j*n^2 - 29142*i*j*n^2 + 
     24336*j^2*n^2 + 22950*n^3 - 4590*i*n^3 + 9180*j*n^3)*f[i, 3 + j, 2 + n])/
   288 + ((-4032 + 2088*i - 398*i^2 + 33*i^3 - i^4 - 4176*j + 1592*i*j - 
     198*i^2*j + 8*i^3*j - 1592*j^2 + 396*i*j^2 - 24*i^2*j^2 - 264*j^3 + 
     32*i*j^3 - 16*j^4 - 1008*n + 438*i*n - 63*i^2*n + 3*i^3*n - 876*j*n + 
     252*i*j*n - 18*i^2*j*n - 252*j^2*n + 36*i*j^2*n - 24*j^3*n)*
    f[i, 4 + j, n])/8 + ((-18068 - 33296*i + 9677*i^2 + 714*i^3 - 115*i^4 + 
     11528*j - 124*i*j - 6798*i^2*j + 10*i^3*j - 7324*j^2 + 9600*i*j^2 + 
     1388*i^2*j^2 + 1832*j^3 - 1928*i*j^3 + 64*j^4 - 11586*n - 55535*i*n + 
     9448*i^2*n + 393*i^3*n + 31410*j*n + 4922*i*j*n - 3652*i^2*j*n - 
     22772*j^2*n + 3876*i*j^2*n + 3520*j^3*n + 2768*n^2 - 31808*i*n^2 + 
     2512*i^2*n^2 + 28768*j*n^2 + 2496*i*j*n^2 - 10816*j^2*n^2 + 2040*n^3 - 
     6120*i*n^3 + 8160*j*n^3)*f[1 + i, j, 1 + n])/16 + 
  ((-5504 + 19088*i + 6700*i^2 + 76*i^3 - 80*i^4 - 18848*j - 32336*i*j - 
     4936*i^2*j + 168*i^3*j + 29424*j^2 + 16016*i*j^2 + 736*i^2*j^2 - 
     12896*j^3 - 2400*i*j^3 + 1792*j^4 - 6160*n + 20164*i*n + 5581*i^2*n + 
     201*i^3*n - 22152*j*n - 24452*i*j*n - 2396*i^2*j*n + 22356*j^2*n + 
     6468*i*j^2*n - 4960*j^3*n - 2216*n^2 + 6866*i*n^2 + 1046*i^2*n^2 - 
     8356*j*n^2 - 4392*i*j*n^2 + 4072*j^2*n^2 - 255*n^3 + 765*i*n^3 - 
     1020*j*n^3)*f[1 + i, j, 3 + n])/32 + 
  ((-580092 - 562760*i + 36827*i^2 + 20079*i^3 - 1656*i^4 + 259996*j + 
     193296*i*j - 67068*i^2*j + 432*i^3*j + 49660*j^2 + 65484*i*j^2 + 
     18216*i^2*j^2 - 23328*j^3 - 25056*i*j^3 + 288*j^4 - 895592*n - 
     834150*i*n + 67203*i^2*n + 6993*i^3*n + 185188*j*n + 146376*i*j*n - 
     40500*i^2*j*n + 52308*j^2*n + 53028*i*j^2*n - 431028*n^2 - 
     407628*i*n^2 + 23688*i^2*n^2 + 18468*j*n^2 + 18180*i*j*n^2 - 64260*n^3 - 
     64260*i*n^3)*f[1 + i, 1 + j, 1 + n])/72 + 
  ((583524 + 562804*i - 9085*i^2 + 11565*i^3 - 1134*i^4 - 196352*j - 
     219750*i*j - 30843*i^2*j - 5013*i^3*j + 21676*j^2 + 29502*i*j^2 + 
     5202*i^2*j^2 - 7056*j^3 - 5976*i*j^3 - 144*j^4 + 553468*n + 552894*i*n + 
     5373*i^2*n + 7083*i^3*n - 106334*j*n - 113544*i*j*n - 8370*i^2*j*n + 
     12222*j^2*n + 12366*i*j^2*n + 72*j^3*n + 164367*n^2 + 164637*i*n^2 + 
     198*i^2*n^2 - 16857*j*n^2 - 16785*i*j*n^2 + 16065*n^3 + 16065*i*n^3)*
    f[1 + i, 1 + j, 3 + n])/288 + 
  ((-127480 - 293424*i - 137148*i^2 + 33291*i^3 - 1665*i^4 + 405520*j + 
     369984*i*j - 44874*i^2*j + 486*i^3*j - 53136*j^2 - 30780*i*j^2 + 
     18036*i^2*j^2 - 25272*j^3 - 24696*i*j^3 - 514264*n - 589527*i*n - 
     62469*i^2*n + 11322*i^3*n + 386110*j*n + 351090*i*j*n - 32868*i^2*j*n + 
     21456*j^2*n + 20376*i*j^2*n + 144*j^3*n - 356208*n^2 - 354996*i*n^2 - 
     36*i^2*n^2 + 66456*j*n^2 + 67032*i*j*n^2 - 64260*n^3 - 64260*i*n^3)*
    f[1 + i, 2 + j, 1 + n])/72 + 
  ((776984 + 656076*i - 90210*i^2 + 20079*i^3 - 1827*i^4 - 123728*j - 
     155652*i*j - 24822*i^2*j - 2970*i^3*j - 16560*j^2 - 16992*i*j^2 + 
     3240*i^2*j^2 - 5184*j^3 - 5616*i*j^3 + 687824*n + 632436*i*n - 
     44739*i^2*n + 9225*i^3*n - 24428*j*n - 33480*i*j*n - 9108*i^2*j*n + 
     5148*j^2*n + 5796*i*j^2*n - 144*j^3*n + 182382*n^2 + 175959*i*n^2 - 
     6111*i^2*n^2 - 4374*j*n^2 - 4518*i*j*n^2 + 16065*n^3 + 16065*i*n^3)*
    f[1 + i, 2 + j, 3 + n])/288 + 
  ((285372 + 171260*i - 123831*i^2 + 16065*i^3 - 576*i^4 + 93692*j + 
     122984*i*j - 9540*i^2*j + 288*i^3*j - 64636*j^2 - 39276*i*j^2 + 
     5688*i^2*j^2 - 11808*j^3 - 7776*i*j^3 - 288*j^4 + 195816*n + 
     102994*i*n - 77823*i^2*n + 5391*i^3*n + 152356*j*n + 138096*i*j*n - 
     8748*i^2*j*n - 3348*j^2*n - 4068*i*j^2*n + 1380*n^2 - 10008*i*n^2 - 
     10620*i^2*n^2 + 31140*j*n^2 + 30852*i*j*n^2 - 9180*n^3 - 9180*i*n^3)*
    f[1 + i, 3 + j, 1 + n])/72 + 
  ((266508 + 203132*i - 59517*i^2 + 4500*i^3 - 63*i^4 - 8032*j - 13246*i*j + 
     3249*i^2*j - 297*i^3*j - 19372*j^2 - 24462*i*j^2 + 2070*i^2*j^2 - 
     720*j^3 - 2520*i*j^3 + 144*j^4 + 207588*n + 175852*i*n - 32607*i^2*n + 
     1305*i^3*n + 29170*j*n + 27540*i*j*n - 1998*i^2*j*n - 846*j^2*n - 
     1206*i*j^2*n + 72*j^3*n + 40965*n^2 + 37692*i*n^2 - 3465*i^2*n^2 + 
     4455*j*n^2 + 4527*i*j*n^2 + 2295*n^3 + 2295*i*n^3)*
    f[1 + i, 3 + j, 3 + n])/288 + 
  ((-5292 + 1848*i - 233*i^2 + 18*i^3 - i^4 - 5880*j + 1692*i*j - 186*i^2*j + 
     10*i^3*j - 2452*j^2 + 528*i*j^2 - 36*i^2*j^2 - 456*j^3 + 56*i*j^3 - 
     32*j^4 - 798*n - 47*i*n + 72*i^2*n - 7*i^3*n - 662*j*n - 54*i*j*n + 
     24*i^2*j*n - 180*j^2*n - 12*i*j^2*n - 16*j^3*n)*f[1 + i, 4 + j, 1 + n])/
   16 + ((-6688 + 6344*i + 946*i^2 - 121*i^3 - i^4 - 8752*j - 6312*i*j + 
     70*i^2*j + 8*i^3*j + 9128*j^2 + 1268*i*j^2 - 24*i^2*j^2 - 1784*j^3 + 
     32*i*j^3 - 16*j^4 - 14216*n + 13578*i*n + 1241*i^2*n - 123*i^3*n - 
     21108*j*n - 9604*i*j*n + 82*i^2*j*n + 14532*j^2*n + 1244*i*j^2*n - 
     1768*j^3*n - 9568*n^2 + 9272*i*n^2 + 296*i^2*n^2 - 16432*j*n^2 - 
     3296*i*j*n^2 + 5408*j^2*n^2 - 2040*n^3 + 2040*i*n^3 - 4080*j*n^3)*
    f[2 + i, j, n])/8 + ((6880 - 4424*i - 2400*i^2 - 88*i^3 + 32*i^4 + 
     5328*j + 11536*i*j + 1936*i^2*j - 80*i^3*j - 13472*j^2 - 6688*i*j^2 - 
     288*i^2*j^2 + 6336*j^3 + 1088*i*j^3 - 896*j^4 + 7184*n - 5146*i*n - 
     1948*i^2*n - 90*i^3*n + 8356*j*n + 9288*i*j*n + 980*i^2*j*n - 
     10784*j^2*n - 2840*i*j^2*n + 2480*j^3*n + 2386*n^2 - 2009*i*n^2 - 
     377*i^2*n^2 + 3754*j*n^2 + 1772*i*j*n^2 - 2036*j^2*n^2 + 255*n^3 - 
     255*i*n^3 + 510*j*n^3)*f[2 + i, j, 2 + n])/16 + 
  ((-59760 + 57304*i + 8082*i^2 - 1233*i^3 - 9*i^4 - 78768*j - 56808*i*j + 
     630*i^2*j + 72*i^3*j + 82152*j^2 + 11412*i*j^2 - 216*i^2*j^2 - 
     16056*j^3 + 288*i*j^3 - 144*j^4 - 125544*n + 124426*i*n + 11169*i^2*n - 
     1251*i^3*n - 189972*j*n - 86436*i*j*n + 738*i^2*j*n + 130788*j^2*n + 
     11196*i*j^2*n - 15912*j^3*n - 84144*n^2 + 85464*i*n^2 + 3096*i^2*n^2 - 
     147888*j*n^2 - 29664*i*j*n^2 + 48672*j^2*n^2 - 18360*n^3 + 18360*i*n^3 - 
     36720*j*n^3)*f[2 + i, 1 + j, n])/72 + 
  ((59640 - 39484*i - 17988*i^2 + 44496*j + 99216*i*j + 17424*i^2*j - 
     121248*j^2 - 61056*i*j^2 - 3024*i^2*j^2 + 57024*j^3 + 9792*i*j^3 - 
     8064*j^4 + 63120*n - 46588*i*n - 15588*i^2*n + 73476*j*n + 80136*i*j*n + 
     7524*i^2*j*n - 96192*j^2*n - 25128*i*j^2*n + 22320*j^3*n + 21228*n^2 - 
     18333*i*n^2 - 3447*i^2*n^2 + 33786*j*n^2 + 15948*i*j*n^2 - 
     18324*j^2*n^2 + 2295*n^3 - 2295*i*n^3 + 4590*j*n^3)*
    f[2 + i, 1 + j, 2 + n])/144 + 
  ((-72 - 126*i - 61*i^2 - 6*i^3 + i^4 + 24*j + 8*i*j - 6*i^2*j - 2*i^3*j - 
     48*n - 88*i*n - 48*i^2*n - 8*i^3*n + 36*j*n + 30*i*j*n + 6*i^2*j*n)*
    f[3 + i, 1 + j, 1 + n])/2 + (24 + 26*i + 9*i^2 + i^3 + 24*n + 26*i*n + 
    9*i^2*n + i^3*n)*f[4 + i, 1 + j, n], 
 ((2089660 + 496138*i - 254542*i^2 + 15750*i^3 - 855*i^4 - 1600288*j + 
     842344*i*j - 26928*i^2*j + 6840*i^3*j - 666088*j^2 - 81720*i*j^2 - 
     20520*i^2*j^2 + 144864*j^3 + 27360*i*j^3 - 13680*j^4 + 5973820*n + 
     367390*i*n - 313245*i^2*n + 8046*i^3*n - 2215252*j*n + 1149192*i*j*n + 
     19296*i^2*j*n - 1044108*j^2*n - 174168*i*j^2*n + 206496*j^3*n + 
     5764036*n^2 - 219474*i*n^2 - 83646*i^2*n^2 - 609768*j*n^2 + 
     406620*i*j*n^2 - 477792*j^2*n^2 + 2156724*n^3 - 124452*i*n^3 + 
     72648*j*n^3 + 261216*n^4)*f[i, j, n])/288 + 
  ((-18440720 - 4849540*i - 3593380*i^2 + 304263*i^3 - 9081*i^4 + 
     12628840*j + 5733620*i*j + 307872*i^2*j + 3546*i^3*j - 5741576*j^2 - 
     449316*i*j^2 + 23976*i^2*j^2 + 71568*j^3 - 55224*i*j^3 + 130320*j^4 - 
     23858428*n - 3392418*i*n - 3149982*i^2*n + 129672*i^3*n + 12882688*j*n + 
     4200912*i*j*n + 94104*i^2*j*n - 3553344*j^2*n - 177588*i*j^2*n - 
     130392*j^3*n - 12018582*n^2 - 367227*i*n^2 - 674217*i^2*n^2 + 
     4203900*j*n^2 + 797202*i*j*n^2 - 466128*j^2*n^2 - 2826090*n^3 + 
     75474*i*n^3 + 417132*j*n^3 - 261216*n^4)*f[i, j, 2 + n])/2304 + 
  ((934016 - 38112*i - 61664*i^2 + 2052*i^3 + 288*i^4 - 964608*j + 
     155472*i*j + 28764*i^2*j - 1836*i^3*j + 307296*j^2 - 72648*i*j^2 - 
     1044*i^2*j^2 - 29088*j^3 + 7272*i*j^3 + 1169904*n - 32144*i*n - 
     45369*i^2*n + 684*i^3*n - 909384*j*n + 108666*i*j*n + 11079*i^2*j*n + 
     187776*j^2*n - 26694*i*j^2*n - 7272*j^3*n + 540424*n^2 - 8964*i*n^2 - 
     8307*i^2*n^2 - 280422*j*n^2 + 19098*i*j*n^2 + 27738*j^2*n^2 + 
     109233*n^3 - 828*i*n^3 - 28341*j*n^3 + 8163*n^4)*f[i, j, 4 + n])/2304 + 
  ((-516540 + 2883858*i - 680614*i^2 + 46881*i^3 - 2151*i^4 - 5640960*j + 
     1901944*i*j - 143946*i^2*j + 17208*i^3*j - 1081432*j^2 + 13212*i*j^2 - 
     51624*i^2*j^2 + 174312*j^3 + 68832*i*j^3 - 34416*j^4 + 4151592*n + 
     3453868*i*n - 719469*i^2*n + 18423*i^3*n - 8169968*j*n + 2062656*i*j*n + 
     26802*i^2*j*n - 1247436*j^2*n - 328284*i*j^2*n + 401976*j^3*n + 
     7506044*n^2 + 867906*i*n^2 - 187326*i^2*n^2 - 3490848*j*n^2 + 
     754596*i*j*n^2 - 759888*j^2*n^2 + 3691152*n^3 - 59616*i*n^3 - 
     246816*j*n^3 + 522432*n^4)*f[i, 1 + j, n])/288 + 
  ((-30556016 + 4639220*i - 4320536*i^2 - 67293*i^3 + 12465*i^4 - 401672*j - 
     1563284*i*j + 2098080*i^2*j + 2070*i^3*j - 1158056*j^2 - 779508*i*j^2 - 
     159984*i^2*j^2 + 396720*j^3 + 201528*i*j^3 + 20880*j^4 - 35811300*n + 
     12800226*i*n - 4846158*i^2*n + 13752*i^3*n - 3033960*j*n - 
     749664*i*j*n + 899712*i^2*j*n - 1744560*j^2*n - 695196*i*j^2*n + 
     273240*j^3*n - 16514046*n^2 + 7503903*i*n^2 - 1221345*i^2*n^2 - 
     610704*j*n^2 + 138942*i*j*n^2 - 681048*j^2*n^2 - 4148280*n^3 + 
     1235088*i*n^3 + 246816*j*n^3 - 522432*n^4)*f[i, 1 + j, 2 + n])/2304 + 
  ((-32000 - 1940800*i + 982200*i^2 - 143730*i^3 + 4995*i^4 + 955456*j - 
     250600*i*j - 50814*i^2*j + 13437*i^3*j + 149184*j^2 + 144*i*j^2 - 
     9360*i^2*j^2 - 58176*j^3 + 14544*i*j^3 + 357120*n - 1957460*i*n + 
     659187*i^2*n - 52668*i^3*n + 559480*j*n - 112392*i*j*n - 6111*i^2*j*n + 
     171936*j^2*n - 24300*i*j^2*n - 14544*j^3*n + 405740*n^2 - 659376*i*n^2 + 
     106677*i^2*n^2 + 49302*j*n^2 + 387*i*j*n^2 + 33660*j^2*n^2 + 
     143919*n^3 - 75330*i*n^3 - 7713*j*n^3 + 16326*n^4)*f[i, 1 + j, 4 + n])/
   2304 + ((-7486404 + 4451350*i - 747398*i^2 + 56313*i^3 - 2169*i^4 - 
     6858224*j + 1964600*i*j - 244530*i^2*j + 17352*i^3*j - 939608*j^2 + 
     302364*i*j^2 - 52056*i^2*j^2 - 77112*j^3 + 69408*i*j^3 - 34704*j^4 - 
     8594640*n + 5274924*i*n - 597915*i^2*n + 15471*i^3*n - 8664672*j*n + 
     1229400*i*j*n + 522*i^2*j*n - 67140*j^2*n - 187740*i*j^2*n + 
     249624*j^3*n - 1563788*n^2 + 1962486*i*n^2 - 146286*i^2*n^2 - 
     4274640*j*n^2 + 447876*i*j*n^2 - 310608*j^2*n^2 + 1043496*n^3 + 
     162504*i*n^3 - 515376*j*n^3 + 261216*n^4)*f[i, 2 + j, n])/288 + 
  ((-19576752 - 17975228*i + 4352292*i^2 - 599463*i^3 + 21969*i^4 + 
     22732152*j - 11531748*i*j + 1781064*i^2*j + 7038*i^3*j + 6712040*j^2 - 
     40572*i*j^2 - 253080*i^2*j^2 - 534096*j^3 + 415224*i*j^3 - 225936*j^4 - 
     39235772*n - 6622514*i*n + 1332270*i^2*n - 188748*i^3*n + 8433304*j*n - 
     6991920*i*j*n + 878112*i^2*j*n + 4853520*j^2*n - 785196*i*j^2*n + 
     519768*j^3*n - 19522194*n^2 + 950733*i*n^2 - 107577*i^2*n^2 - 
     1176840*j*n^2 - 620370*i*j*n^2 + 60552*j^2*n^2 - 3427092*n^3 + 
     327276*i*n^3 - 72360*j*n^3 - 261216*n^4)*f[i, 2 + j, 2 + n])/2304 + 
  ((4698240 - 2665216*i + 512776*i^2 - 39204*i^3 + 1044*i^4 + 872896*j - 
     318808*i*j + 22230*i^2*j + 729*i^3*j - 158112*j^2 + 72792*i*j^2 - 
     8316*i^2*j^2 - 29088*j^3 + 7272*i*j^3 + 4373776*n - 1908308*i*n + 
     259992*i^2*n - 11295*i^3*n + 945280*j*n - 286506*i*j*n + 19170*i^2*j*n - 
     15840*j^2*n + 2394*i*j^2*n - 7272*j^3*n + 1395532*n^2 - 402372*i*n^2 + 
     27621*i^2*n^2 + 264276*j*n^2 - 40527*i*j*n^2 + 5922*j^2*n^2 + 
     181584*n^3 - 25533*i*n^3 + 20628*j*n^3 + 8163*n^4)*f[i, 2 + j, 4 + n])/
   2304 + ((-11559368 + 5057652*i - 819898*i^2 + 65061*i^3 - 2187*i^4 - 
     7497744*j + 2518120*i*j - 342774*i^2*j + 17496*i^3*j - 1756648*j^2 + 
     590364*i*j^2 - 52488*i^2*j^2 - 330120*j^3 + 69984*i*j^3 - 34992*j^4 - 
     14004872*n + 4579346*i*n - 413325*i^2*n + 11655*i^3*n - 5827252*j*n + 
     749052*i*j*n - 22338*i^2*j*n + 155196*j^2*n - 50508*i*j^2*n + 
     97128*j^3*n - 6603960*n^2 + 1750500*i*n^2 - 85644*i^2*n^2 - 
     2787120*j*n^2 + 199800*i*j*n^2 - 57024*j^2*n^2 - 979560*n^3 + 
     195912*i*n^3 - 391824*j*n^3)*f[i, 3 + j, n])/576 + 
  ((43688416 - 18551868*i + 2643152*i^2 - 134955*i^3 + 495*i^4 + 26338152*j - 
     6329180*i*j + 339912*i^2*j + 8514*i^3*j + 2128520*j^2 + 289620*i*j^2 - 
     69120*i^2*j^2 - 859248*j^3 + 158472*i*j^3 - 116496*j^4 + 27957628*n - 
     10287802*i*n + 1157238*i^2*n - 42048*i^3*n + 18066944*j*n - 
     3786624*i*j*n + 188856*i^2*j*n + 3044736*j^2*n - 267588*i*j^2*n + 
     116136*j^3*n + 4752930*n^2 - 1384533*i*n^2 + 86715*i^2*n^2 + 
     2590596*j*n^2 - 311166*i*j*n^2 + 275472*j^2*n^2 + 244890*n^3 - 
     48978*i*n^3 + 97956*j*n^3)*f[i, 3 + j, 2 + n])/2304 + 
  ((-200256 + 103480*i - 19670*i^2 + 1625*i^3 - 49*i^4 - 206960*j + 
     78680*i*j - 9750*i^2*j + 392*i^3*j - 78680*j^2 + 19500*i*j^2 - 
     1176*i^2*j^2 - 13000*j^3 + 1568*i*j^3 - 784*j^4 - 52080*n + 22630*i*n - 
     3255*i^2*n + 155*i^3*n - 45260*j*n + 13020*i*j*n - 930*i^2*j*n - 
     13020*j^2*n + 1860*i*j^2*n - 1240*j^3*n)*f[i, 4 + j, n])/64 + 
  ((-2049780 - 3856080*i + 914997*i^2 + 101178*i^3 - 7083*i^4 + 986408*j - 
     522620*i*j - 665118*i^2*j + 954*i^3*j - 764924*j^2 + 829440*i*j^2 + 
     77004*i^2*j^2 + 132840*j^3 - 92232*i*j^3 - 17856*j^4 - 1166994*n - 
     5989991*i*n + 812808*i^2*n + 37809*i^3*n + 3414402*j*n + 173322*i*j*n - 
     270756*i^2*j*n - 2098836*j^2*n + 231876*i*j^2*n + 287424*j^3*n + 
     338256*n^2 - 3238848*i*n^2 + 187920*i^2*n^2 + 3070656*j*n^2 + 
     204768*i*j*n^2 - 896832*j^2*n^2 + 195912*n^3 - 587736*i*n^3 + 
     783648*j*n^3)*f[1 + i, j, 1 + n])/1152 + 
  ((-626304 + 2111328*i + 864528*i^2 + 55764*i^3 - 5148*i^4 - 2194304*j - 
     3504256*i*j - 594540*i^2*j + 8820*i^3*j + 3026816*j^2 + 1532304*i*j^2 + 
     56592*i^2*j^2 - 1131408*j^3 - 168336*i*j^3 + 122112*j^4 - 652224*n + 
     2095460*i*n + 622827*i^2*n + 29655*i^3*n - 2372136*j*n - 2452500*i*j*n - 
     244764*i^2*j*n + 2150604*j^2*n + 579564*i*j^2*n - 417024*j^3*n - 
     221868*n^2 + 682398*i*n^2 + 107118*i^2*n^2 - 840960*j*n^2 - 
     417420*i*j*n^2 + 373320*j^2*n^2 - 24489*n^3 + 73467*i*n^3 - 97956*j*n^3)*
    f[1 + i, j, 3 + n])/2304 + 
  ((-7172268 - 7244984*i + 126435*i^2 + 232191*i^3 - 10800*i^4 + 2217292*j + 
     1576960*i*j - 869724*i^2*j - 1008*i^3*j + 539740*j^2 + 950220*i*j^2 + 
     129672*i^2*j^2 - 279072*j^3 - 160992*i*j^3 - 15840*j^4 - 10588848*n - 
     10160486*i*n + 566091*i^2*n + 76113*i^3*n + 1321332*j*n + 795960*i*j*n - 
     397908*i^2*j*n + 544788*j^2*n + 488484*i*j^2*n + 5760*j^3*n - 
     4848468*n^2 - 4617468*i*n^2 + 206712*i^2*n^2 + 42228*j*n^2 + 
     53460*i*j*n^2 - 685692*n^3 - 685692*i*n^3)*f[1 + i, 1 + j, 1 + n])/576 + 
  ((7283220 + 7280452*i + 153879*i^2 + 160101*i^3 - 6570*i^4 - 1436048*j - 
     1742534*i*j - 337383*i^2*j - 36081*i^3*j + 337372*j^2 + 316350*i*j^2 + 
     30690*i^2*j^2 - 13536*j^3 - 41832*i*j^3 + 3312*j^4 + 6403044*n + 
     6488446*i*n + 143271*i^2*n + 71037*i^3*n - 863022*j*n - 900576*i*j*n - 
     87354*i^2*j*n + 104886*j^2*n + 130950*i*j^2*n - 2808*j^3*n + 
     1816179*n^2 + 1823733*i*n^2 + 13626*i^2*n^2 - 141165*j*n^2 - 
     143973*i*j*n^2 + 171423*n^3 + 171423*i*n^3)*f[1 + i, 1 + j, 3 + n])/
   2304 + ((-1717000 - 3400128*i - 1911316*i^2 + 336987*i^3 - 12249*i^4 + 
     4093696*j + 4728176*i*j - 769770*i^2*j + 7686*i^3*j - 749232*j^2 + 
     411588*i*j^2 + 108756*i^2*j^2 - 439992*j^3 - 135288*i*j^3 - 29952*j^4 - 
     5947760*n - 7285959*i*n - 837261*i^2*n + 107658*i^3*n + 3961166*j*n + 
     3267234*i*j*n - 342468*i^2*j*n + 329040*j^2*n + 253656*i*j^2*n + 
     1296*j^3*n - 3995760*n^2 - 4023972*i*n^2 - 44820*i^2*n^2 + 
     580968*j*n^2 + 583848*i*j*n^2 - 685692*n^3 - 685692*i*n^3)*
    f[1 + i, 2 + j, 1 + n])/576 + 
  ((9450296 + 8375916*i - 741574*i^2 + 242343*i^3 - 15111*i^4 - 246320*j - 
     844708*i*j - 258066*i^2*j - 19638*i^3*j + 161568*j^2 - 144864*i*j^2 + 
     33048*i^2*j^2 + 43632*j^3 - 62208*i*j^3 + 10368*j^4 + 7785616*n + 
     7323492*i*n - 410913*i^2*n + 102267*i^3*n + 50516*j*n - 720*i*j*n - 
     116316*i^2*j*n + 69300*j^2*n + 85500*i*j^2*n - 720*j^3*n + 1994826*n^2 + 
     1936575*i*n^2 - 54099*i^2*n^2 - 14634*j*n^2 - 15354*i*j*n^2 + 
     171423*n^3 + 171423*i*n^3)*f[1 + i, 2 + j, 3 + n])/2304 + 
  ((2629676 + 2730268*i - 1518395*i^2 + 156825*i^3 - 4788*i^4 + 175916*j + 
     2513480*i*j - 277308*i^2*j + 7704*i^3*j - 1285388*j^2 + 83988*i*j^2 + 
     21096*i^2*j^2 - 313344*j^3 - 23616*i*j^3 - 22176*j^4 + 2303504*n + 
     1094950*i*n - 845775*i^2*n + 46611*i^3*n + 1775468*j*n + 1552824*i*j*n - 
     92556*i^2*j*n - 8100*j^2*n + 1260*i*j^2*n - 5184*j^3*n + 26916*n^2 - 
     127368*i*n^2 - 122796*i^2*n^2 + 328788*j*n^2 + 316980*i*j*n^2 - 
     97956*n^3 - 97956*i*n^3)*f[1 + i, 3 + j, 1 + n])/576 + 
  ((3096764 + 2582572*i - 535937*i^2 + 9756*i^3 + 2637*i^4 + 338192*j + 
     87842*i*j + 93357*i^2*j - 15453*i^3*j - 5852*j^2 - 262926*i*j^2 + 
     36486*i^2*j^2 + 38592*j^3 - 35208*i*j^3 + 5904*j^4 + 2243228*n + 
     1996924*i*n - 324225*i^2*n + 11295*i^3*n + 377618*j*n + 372636*i*j*n - 
     20070*i^2*j*n + 11034*j^2*n - 3726*i*j^2*n + 2952*j^3*n + 434073*n^2 + 
     407340*i*n^2 - 34605*i^2*n^2 + 48411*j*n^2 + 51363*i*j*n^2 + 24489*n^3 + 
     24489*i*n^3)*f[1 + i, 3 + j, 3 + n])/2304 + 
  ((-225036 + 70200*i - 7249*i^2 + 546*i^3 - 41*i^4 - 246072*j + 65148*i*j - 
     6858*i^2*j + 410*i^3*j - 101300*j^2 + 20880*i*j^2 - 1476*i^2*j^2 - 
     18696*j^3 + 2296*i*j^3 - 1312*j^4 - 36750*n - 4711*i*n + 4104*i^2*n - 
     383*i^3*n - 29638*j*n - 4326*i*j*n + 1368*i^2*j*n - 7764*j^2*n - 
     876*i*j^2*n - 656*j^3*n)*f[1 + i, 4 + j, 1 + n])/128 + 
  ((-770752 + 656120*i + 123210*i^2 - 5049*i^3 + 423*i^4 - 1088176*j - 
     666504*i*j - 13338*i^2*j - 3384*i^3*j + 842760*j^2 + 114804*i*j^2 + 
     10152*i^2*j^2 - 135288*j^3 - 13536*i*j^3 + 6768*j^4 - 1560760*n + 
     1398890*i*n + 169641*i^2*n - 4203*i^3*n - 2441524*j*n - 984420*i*j*n - 
     18414*i^2*j*n + 1292868*j^2*n + 124956*i*j^2*n - 142056*j^3*n - 
     985920*n^2 + 939528*i*n^2 + 46008*i^2*n^2 - 1746864*j*n^2 - 
     316224*i*j*n^2 + 448416*j^2*n^2 - 195912*n^3 + 195912*i*n^3 - 
     391824*j*n^3)*f[2 + i, j, n])/576 + 
  ((772480 - 459104*i - 293424*i^2 - 24696*i^3 + 2232*i^4 + 697888*j + 
     1291416*i*j + 236520*i^2*j - 5760*i^3*j - 1409136*j^2 - 650592*i*j^2 - 
     18576*i^2*j^2 + 552672*j^3 + 72000*i*j^3 - 59328*j^4 + 751384*n - 
     526418*i*n - 214884*i^2*n - 12546*i^3*n + 931660*j*n + 951660*i*j*n + 
     102168*i^2*j*n - 1043784*j^2*n - 258552*i*j^2*n + 208800*j^3*n + 
     237522*n^2 - 199071*i*n^2 - 38403*i^2*n^2 + 381618*j*n^2 + 
     170136*i*j*n^2 - 186660*j^2*n^2 + 24489*n^3 - 24489*i*n^3 + 48978*j*n^3)*
    f[2 + i, j, 2 + n])/1152 + 
  ((-770320 + 656328*i + 122778*i^2 - 5193*i^3 + 423*i^4 - 1088176*j - 
     666504*i*j - 13338*i^2*j - 3384*i^3*j + 842760*j^2 + 114804*i*j^2 + 
     10152*i^2*j^2 - 135288*j^3 - 13536*i*j^3 + 6768*j^4 - 1558360*n + 
     1401114*i*n + 169641*i^2*n - 4347*i^3*n - 2441524*j*n - 984420*i*j*n - 
     18414*i^2*j*n + 1292868*j^2*n + 124956*i*j^2*n - 142056*j^3*n - 
     983952*n^2 + 941544*i*n^2 + 46440*i^2*n^2 - 1746864*j*n^2 - 
     316224*i*j*n^2 + 448416*j^2*n^2 - 195912*n^3 + 195912*i*n^3 - 
     391824*j*n^3)*f[2 + i, 1 + j, n])/576 + 
  ((770200 - 398868*i - 204060*i^2 + 650656*j + 1227768*i*j + 228312*i^2*j - 
     1405968*j^2 - 656640*i*j^2 - 23328*i^2*j^2 + 556704*j^3 + 77184*i*j^3 - 
     61632*j^4 + 749848*n - 503004*i*n - 177516*i^2*n + 907900*j*n + 
     914076*i*j*n + 89640*i^2*j*n - 1040328*j^2*n - 257256*i*j^2*n + 
     208800*j^3*n + 237276*n^2 - 199323*i*n^2 - 38457*i^2*n^2 + 
     381618*j*n^2 + 170136*i*j*n^2 - 186660*j^2*n^2 + 24489*n^3 - 
     24489*i*n^3 + 48978*j*n^3)*f[2 + i, 1 + j, 2 + n])/1152 + 
  ((20*i + 21*i^2 - 2*i^3 - 3*i^4 - 40*j - 76*i*j + 18*i^2*j + 22*i^3*j + 
     68*j^2 - 48*i*j^2 - 60*i^2*j^2 + 40*j^3 + 72*i*j^3 - 32*j^4 + 13*i*n + 
     18*i^2*n + 5*i^3*n - 26*j*n - 66*i*j*n - 24*i^2*j*n + 60*j^2*n + 
     36*i*j^2*n - 16*j^3*n)*f[3 + i, j, 1 + n])/16 + 
  ((-648 - 1166*i - 622*i^2 - 106*i^3 - 2*i^4 - 8*j - 44*i*j + 24*i^2*j + 
     20*i^3*j + 44*j^2 - 72*i*j^2 - 60*i^2*j^2 + 56*j^3 + 72*i*j^3 - 32*j^4 - 
     336*n - 607*i*n - 324*i^2*n - 53*i^3*n + 18*j*n - 12*i*j*n - 6*i^2*j*n + 
     36*j^2*n + 12*i*j^2*n)*f[3 + i, 1 + j, 1 + n])/16 + 
  ((-2*i - 3*i^2 - i^3 + 4*j + 12*i*j + 6*i^2*j - 12*j^2 - 12*i*j^2 + 8*j^3 - 
     2*i*n - 3*i^2*n - i^3*n + 4*j*n + 12*i*j*n + 6*i^2*j*n - 12*j^2*n - 
     12*i*j^2*n + 8*j^3*n)*f[4 + i, j, n])/8 + 
  ((12 + 12*i + 3*i^2 + 2*j + 6*i*j + 3*i^2*j - 6*j^2 - 6*i*j^2 + 4*j^3 + 
     12*n + 12*i*n + 3*i^2*n + 2*j*n + 6*i*j*n + 3*i^2*j*n - 6*j^2*n - 
     6*i*j^2*n + 4*j^3*n)*f[4 + i, 1 + j, n])/4, 
 (32*(28 + 16*i - 4*i^2 - 32*j + 18*i*j - 18*j^2 + 76*n + 13*i*n - 4*i^2*n - 
     29*j*n + 18*i*j*n - 18*j^2*n + 60*n^2 - 3*i*n^2 + 3*j*n^2 + 12*n^3)*
    f[i, j, n])/3 - (2*(3100 + 1509*i + 136*i^2 - 13*i^3 - 118*j - 8*i*j + 
     46*i^2*j - 24*j^2 - 48*i*j^2 + 8*j^3 + 2056*n + 777*i*n + 50*i^2*n + 
     13*j*n - 22*i*j*n + 30*j^2*n + 396*n^2 + 96*i*n^2 - 9*j*n^2 + 24*n^3)*
    f[i, j, 2 + n])/3 + ((7216 + 4492*i + 708*i^2 + 55*i^3 - 56*j - 204*i*j - 
     40*i^2*j + 216*j^2 + 36*i*j^2 + 2740*n + 1292*i*n + 86*i^2*n - 104*j*n - 
     32*i*j*n + 24*j^2*n + 336*n^2 + 99*i*n^2 - 12*j*n^2 + 12*n^3)*
    f[i, j, 4 + n])/24 + (32*(-14 + 50*i - 8*i^2 - 100*j + 32*i*j - 32*j^2 + 
     55*n + 53*i*n - 8*i^2*n - 106*j*n + 32*i*j*n - 32*j^2*n + 89*n^2 + 
     3*i*n^2 - 6*j*n^2 + 20*n^3)*f[i, 1 + j, n])/3 - 
  (2*(3798 + 1746*i + 242*i^2 - 10*i^3 - 704*j - 40*i*j + 40*i^2*j - 
     224*j^2 - 32*i*j^2 - 16*j^3 + 3021*n + 811*i*n + 92*i^2*n + 82*j*n - 
     72*i*j*n + 40*j^2*n + 621*n^2 + 99*i*n^2 + 6*j*n^2 + 40*n^3)*
    f[i, 1 + j, 2 + n])/3 + 
  ((3112 + 1196*i + 161*i^2 + 13*i^3 + 432*j - 2*i*j - 13*i^2*j + 88*j^2 + 
     14*i*j^2 + 1122*n + 333*i*n + 21*i^2*n + 78*j*n - 2*i*j*n + 10*j^2*n + 
     133*n^2 + 24*i*n^2 + 3*j*n^2 + 5*n^3)*f[i, 1 + j, 4 + n])/6 + 
  (16*(-203 + 100*i - 9*i^2 - 200*j + 36*i*j - 36*j^2 - 200*n + 115*i*n - 
     9*i^2*n - 230*j*n + 36*i*j*n - 36*j^2*n + 19*n^2 + 15*i*n^2 - 30*j*n^2 + 
     16*n^3)*f[i, 2 + j, n])/3 + 
  ((516 - 1424*i - 100*i^2 - 8*i^3 + 2892*j - 352*i*j + 36*i^2*j + 816*j^2 - 
     80*i*j^2 + 80*j^3 - 1590*n - 285*i*n - 75*i^2*n + 170*j*n + 60*i*j*n + 
     20*j^2*n - 447*n^2 - 21*i*n^2 - 18*j*n^2 - 32*n^3)*f[i, 2 + j, 2 + n])/
   3 + ((5520 + 268*i - 92*i^2 + i^3 + 1784*j + 196*i*j - 12*i^2*j + 
     136*j^2 + 20*i*j^2 + 1892*n + 58*i*n - 12*i^2*n + 416*j*n + 24*i*j*n + 
     16*j^2*n + 214*n^2 + 3*i*n^2 + 24*j*n^2 + 8*n^3)*f[i, 2 + j, 4 + n])/
   24 - (32*(55 - 16*i + i^2 + 32*j - 4*i*j + 4*j^2 + 70*n - 19*i*n + i^2*n + 
     38*j*n - 4*i*j*n + 4*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*f[i, 3 + j, n])/
   3 + (2*(1100 - 430*i + 52*i^2 - 2*i^3 + 860*j - 208*i*j + 12*i^2*j + 
     208*j^2 - 24*i*j^2 + 16*j^3 + 260*n - 77*i*n + 5*i^2*n + 154*j*n - 
     20*i*j*n + 20*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*f[i, 3 + j, 2 + n])/
   3 - (4*(970 + 156*i - 48*i^2 - 6*i^3 + 208*j + 176*i*j + 28*i^2*j - 
     136*j^2 - 32*i*j^2 + 906*n + 109*i*n - 25*i^2*n + 206*j*n + 68*i*j*n - 
     20*j^2*n + 232*n^2 + 27*i*n^2 + 18*j*n^2 + 16*n^3)*f[1 + i, j, 1 + n])/
   3 + ((5272 + 2378*i + 547*i^2 + 12*i^3 - 1428*j - 660*i*j - 32*i^2*j + 
     372*j^2 + 40*i*j^2 + 16*j^3 + 2578*n + 679*i*n + 131*i^2*n - 534*j*n - 
     172*i*j*n + 60*j^2*n + 456*n^2 + 27*i*n^2 - 30*j*n^2 + 32*n^3)*
    f[1 + i, j, 3 + n])/12 + 
  ((-96 + 8*i + 4*i^2 + 56*j - 10*i*j - i^2*j - 8*j^2 + 2*i*j^2 - 64*n + 
     2*i*n + i^2*n + 26*j*n - 2*i*j*n - 2*j^2*n - 14*n^2 + 3*j*n^2 - n^3)*
    f[1 + i, j, 5 + n])/12 - 
  (4*(2070 + 900*i - 48*i^2 - 18*i^3 - 780*j + 312*i*j + 72*i^2*j - 432*j^2 - 
     72*i*j^2 + 2752*n + 695*i*n - 53*i^2*n - 278*j*n + 196*i*j*n - 
     180*j^2*n + 1074*n^2 + 117*i*n^2 + 18*j*n^2 + 120*n^3)*
    f[1 + i, 1 + j, 1 + n])/3 + 
  ((35000 + 15178*i + 1787*i^2 - 12*i^3 + 20*j - 172*i*j + 228*i^2*j + 
     156*j^2 - 240*i*j^2 + 48*j^3 + 20612*n + 6685*i*n + 479*i^2*n + 
     374*j*n - 220*i*j*n + 300*j^2*n + 3834*n^2 + 765*i*n^2 - 54*j*n^2 + 
     240*n^3)*f[1 + i, 1 + j, 3 + n])/12 + 
  ((-2336 - 1452*i - 265*i^2 - 15*i^3 - 16*j + 86*i*j + 11*i^2*j - 80*j^2 - 
     10*i*j^2 - 892*n - 396*i*n - 37*i^2*n + 22*j*n + 14*i*j*n - 10*j^2*n - 
     115*n^2 - 27*i*n^2 + 3*j*n^2 - 5*n^3)*f[1 + i, 1 + j, 5 + n])/8 - 
  (4*(-322 + 876*i + 68*i^2 - 14*i^3 - 1652*j + 24*i*j + 56*i^2*j - 320*j^2 - 
     56*i*j^2 + 654*n + 753*i*n - 9*i^2*n - 906*j*n + 84*i*j*n - 132*j^2*n + 
     504*n^2 + 135*i*n^2 - 90*j*n^2 + 72*n^3)*f[1 + i, 2 + j, 1 + n])/3 + 
  ((15928 + 5314*i + 847*i^2 + 76*i^3 - 3868*j + 468*i*j - 164*i^2*j - 
     1780*j^2 + 272*i*j^2 - 240*j^3 + 12102*n + 1347*i*n + 315*i^2*n + 
     762*j*n - 300*i*j*n + 60*j^2*n + 2376*n^2 + 135*i*n^2 + 126*j*n^2 + 
     144*n^3)*f[1 + i, 2 + j, 3 + n])/12 - 
  (3*(640 + 16*i - 8*i^2 + 208*j + 18*i*j - i^2*j + 16*j^2 + 2*i*j^2 + 
     224*n + 2*i*n - i^2*n + 50*j*n + 2*i*j*n + 2*j^2*n + 26*n^2 + 3*j*n^2 + 
     n^3)*f[1 + i, 2 + j, 5 + n])/8 + 
  (4*(1132 - 182*i - 50*i^2 + 4*i^3 + 756*j + 56*i*j - 16*i^2*j + 88*j^2 + 
     16*i*j^2 + 708*n - 199*i*n - 7*i^2*n + 446*j*n - 4*i*j*n + 36*j^2*n + 
     96*n^2 - 39*i*n^2 + 54*j*n^2)*f[1 + i, 3 + j, 1 + n])/3 + 
  ((-7560 + 4226*i - 567*i^2 + 22*i^3 - 7012*j + 2044*i*j - 124*i^2*j - 
     1820*j^2 + 232*i*j^2 - 144*j^3 - 1716*n + 833*i*n - 61*i^2*n - 
     1282*j*n + 212*i*j*n - 180*j^2*n - 96*n^2 + 39*i*n^2 - 54*j*n^2)*
    f[1 + i, 3 + j, 3 + n])/12 + 
  (16*(-47 + 4*i + 3*i^2 - 32*j - 16*i*j + 16*j^2 - 68*n + 13*i*n + 3*i^2*n - 
     56*j*n - 16*i*j*n + 16*j^2*n - 21*n^2 + 9*i*n^2 - 24*j*n^2)*
    f[2 + i, j, n])/3 + ((856 + 338*i - 64*i^2 - 10*i^3 + 80*j + 320*i*j + 
     64*i^2*j - 224*j^2 - 112*i*j^2 + 64*j^3 + 374*n + 157*i*n - 23*i^2*n - 
     40*j*n + 80*i*j*n - 48*j^2*n + 45*n^2 + 27*i*n^2 - 24*j*n^2)*
    f[2 + i, j, 2 + n])/3 + 
  ((-192 - 320*i - 78*i^2 - 5*i^3 + 448*j + 268*i*j + 28*i^2*j - 224*j^2 - 
     52*i*j^2 + 32*j^3 - 68*n - 108*i*n - 14*i^2*n + 148*j*n + 48*i*j*n - 
     40*j^2*n - 6*n^2 - 9*i*n^2 + 12*j*n^2)*f[2 + i, j, 4 + n])/12 - 
  (16*(45 - 16*i - 5*i^2 + 32*j + 16*i*j - 16*j^2 + 90*n - 25*i*n - 5*i^2*n + 
     56*j*n + 16*i*j*n - 16*j^2*n + 53*n^2 - 9*i*n^2 + 24*j*n^2 + 8*n^3)*
    f[2 + i, 1 + j, n])/3 + 
  ((1192 - 214*i - 128*i^2 - 18*i^3 + 328*j + 336*i*j + 88*i^2*j - 112*j^2 - 
     128*i*j^2 + 64*j^3 + 860*n - 91*i*n - 29*i^2*n + 104*j*n + 64*i*j*n + 
     201*n^2 - 9*i*n^2 + 16*n^3)*f[2 + i, 1 + j, 2 + n])/3 + 
  ((-288 + 184*i + 50*i^2 + 3*i^3 + 376*j + 136*i*j + 10*i^2*j - 40*j^2 - 
     8*i*j^2 - 200*n + 25*i*n + 5*i^2*n + 100*j*n + 20*i*j*n - 4*j^2*n - 
     37*n^2 + 6*j*n^2 - 2*n^3)*f[2 + i, 1 + j, 4 + n])/12 - 
  (8*(18*i + 2*i^2 - 36*j - 8*i*j + 8*j^2 + 15*i*n + i^2*n - 30*j*n - 
     4*i*j*n + 4*j^2*n + 3*i*n^2 - 6*j*n^2)*f[3 + i, j, 1 + n])/3 + 
  ((90*i + 27*i^2 + 2*i^3 - 180*j - 108*i*j - 12*i^2*j + 108*j^2 + 24*i*j^2 - 
     16*j^3 + 33*i*n + 5*i^2*n - 66*j*n - 20*i*j*n + 20*j^2*n + 3*i*n^2 - 
     6*j*n^2)*f[3 + i, j, 3 + n])/6 + 
  (8*(-17 - 49*i - 17*i^2 - i^3 + 70*j + 36*i*j + 2*i^2*j - 8*j^2 + 2*n - 
     17*i*n - 5*i^2*n + 26*j*n + 12*i*j*n - 4*j^2*n + 3*n^2)*
    f[3 + i, 1 + j, 1 + n])/3 + 
  ((-128 - 62*i + 2*i^2 + i^3 + 76*j - 60*i*j - 10*i^2*j + 108*j^2 + 
     24*i*j^2 - 16*j^3 - 40*n - 11*i*n + i^2*n + 14*j*n - 12*i*j*n + 
     20*j^2*n - 3*n^2)*f[3 + i, 1 + j, 3 + n])/6 - 
  (16*(27 + 12*i + i^2 + 36*n + 15*i*n + i^2*n + 9*n^2 + 3*i*n^2)*
    f[4 + i, 1 + j, n])/3 + 
  ((432 + 246*i + 40*i^2 + 2*i^3 + 126*n + 57*i*n + 5*i^2*n + 9*n^2 + 
     3*i*n^2)*f[4 + i, 1 + j, 2 + n])/3, 
 (-4*(279 + 80*i - 31*i^2 - 160*j + 116*i*j - 116*j^2 + 678*n + 59*i*n - 
     31*i^2*n - 106*j*n + 116*i*j*n - 116*j^2*n + 479*n^2 - 21*i*n^2 + 
     54*j*n^2 + 80*n^3)*f[i, j, n])/3 + 
  ((4348 + 822*i + 964*i^2 - 6*i^3 - 1476*j - 1168*i*j + 12*i^2*j + 976*j^2 - 
     56*i*j^2 + 144*j^3 + 3780*n + 21*i*n + 389*i^2*n - 1046*j*n - 
     476*i*j*n + 220*j^2*n + 1263*n^2 - 93*i*n^2 - 138*j*n^2 + 160*n^3)*
    f[i, j, 2 + n])/12 + ((-304 + 68*i - 18*i^2 + 5*i^3 + 288*j - 24*i*j - 
     12*i^2*j - 80*j^2 + 20*i*j^2 - 308*n + 52*i*n - 4*i^2*n + 168*j*n - 
     12*i*j*n - 20*j^2*n - 98*n^2 + 9*i*n^2 + 24*j*n^2 - 10*n^3)*
    f[i, j, 4 + n])/24 - (4*(-63 + 344*i - 57*i^2 - 688*j + 228*i*j - 
     228*j^2 + 498*n + 347*i*n - 57*i^2*n - 694*j*n + 228*i*j*n - 228*j^2*n + 
     713*n^2 + 3*i*n^2 - 6*j*n^2 + 152*n^3)*f[i, 1 + j, n])/3 + 
  ((8020 - 498*i + 956*i^2 + 82*i^3 + 1452*j + 576*i*j - 324*i^2*j + 
     384*j^2 + 328*i*j^2 - 16*j^3 + 6084*n - 2475*i*n + 603*i^2*n + 
     1270*j*n - 348*i*j*n + 380*j^2*n + 1785*n^2 - 669*i*n^2 + 18*j*n^2 + 
     304*n^3)*f[i, 1 + j, 2 + n])/12 + 
  ((-160 + 992*i - 422*i^2 + 46*i^3 - 504*j + 282*i*j - 39*i^2*j - 152*j^2 + 
     38*i*j^2 - 272*n + 556*i*n - 111*i^2*n - 138*j*n + 42*i*j*n - 38*j^2*n - 
     134*n^2 + 84*i*n^2 - 3*j*n^2 - 19*n^3)*f[i, 1 + j, 4 + n])/24 - 
  (4*(-819 + 408*i - 37*i^2 - 816*j + 148*i*j - 148*j^2 - 774*n + 465*i*n - 
     37*i^2*n - 930*j*n + 148*i*j*n - 148*j^2*n + 117*n^2 + 57*i*n^2 - 
     114*j*n^2 + 72*n^3)*f[i, 2 + j, n])/3 + 
  ((4212 + 4818*i - 868*i^2 + 110*i^3 - 4812*j + 3616*i*j - 444*i^2*j - 
     2464*j^2 + 600*i*j^2 - 304*j^3 + 6948*n + 111*i*n + 31*i^2*n + 930*j*n + 
     308*i*j*n - 20*j^2*n + 1557*n^2 - 159*i*n^2 + 102*j*n^2 + 144*n^3)*
    f[i, 2 + j, 2 + n])/12 - 
  (3*(240 - 124*i + 20*i^2 - i^3 + 88*j - 34*i*j + 3*i^2*j + 8*j^2 - 
     2*i*j^2 + 124*n - 40*i*n + 3*i^2*n + 34*j*n - 6*i*j*n + 2*j^2*n + 
     20*n^2 - 3*i*n^2 + 3*j*n^2 + n^3)*f[i, 2 + j, 4 + n])/8 + 
  12*(55 - 16*i + i^2 + 32*j - 4*i*j + 4*j^2 + 70*n - 19*i*n + i^2*n + 
    38*j*n - 4*i*j*n + 4*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*f[i, 3 + j, n] - 
  (3*(1100 - 430*i + 52*i^2 - 2*i^3 + 860*j - 208*i*j + 12*i^2*j + 208*j^2 - 
     24*i*j^2 + 16*j^3 + 260*n - 77*i*n + 5*i^2*n + 154*j*n - 20*i*j*n + 
     20*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*f[i, 3 + j, 2 + n])/4 - 
  (8*(-31 - 83*i + 11*i^2 + 3*i^3 + 23*j - 14*i*j - 11*i^2*j - 14*j^2 + 
     10*i*j^2 + 11*n - 90*i*n + 3*i^2*n + 61*j*n + 6*i*j*n - 22*j^2*n + 
     22*n^2 - 27*i*n^2 + 30*j*n^2 + 4*n^3)*f[1 + i, j, 1 + n])/3 + 
  ((478 - 130*i - 50*i^2 - 15*i^3 + 18*j + 252*i*j + 61*i^2*j - 216*j^2 - 
     110*i*j^2 + 72*j^3 + 323*n - 112*i*n - 5*i^2*n + 61*j*n + 70*i*j*n - 
     70*j^2*n + 78*n^2 - 27*i*n^2 + 18*j*n^2 + 8*n^3)*f[1 + i, j, 3 + n])/6 + 
  ((-96 + 8*i + 4*i^2 + 56*j - 10*i*j - i^2*j - 8*j^2 + 2*i*j^2 - 64*n + 
     2*i*n + i^2*n + 26*j*n - 2*i*j*n - 2*j^2*n - 14*n^2 + 3*j*n^2 - n^3)*
    f[1 + i, j, 5 + n])/24 + 
  (2*(899 + 925*i + 37*i^2 - 29*i^3 - 52*j - 24*i*j + 116*i^2*j - 100*j^2 - 
     116*i*j^2 + 954*n + 888*i*n - 34*i^2*n + 132*j*n + 64*i*j*n + 8*j^2*n + 
     207*n^2 + 201*i*n^2 + 12*j*n^2)*f[1 + i, 1 + j, 1 + n])/3 + 
  ((-3700 - 3708*i - 351*i^2 - 105*i^3 - 304*j + 388*i*j + 92*i^2*j - 
     332*j^2 - 68*i*j^2 - 32*j^3 - 1704*n - 1674*i*n - 46*i^2*n - 60*j*n + 
     112*i*j*n - 40*j^2*n - 207*n^2 - 201*i*n^2 - 12*j*n^2)*
    f[1 + i, 1 + j, 3 + n])/24 - 
  (8*(-43 - 114*i - 64*i^2 + 7*i^3 + 142*j + 114*i*j - 28*i^2*j + 28*j^2 + 
     28*i*j^2 - 167*n - 177*i*n - 10*i^2*n + 20*j*n + 20*i*j*n - 48*n^2 - 
     48*i*n^2)*f[1 + i, 2 + j, 1 + n])/3 + 
  ((-1166 - 1106*i + 35*i^2 - 25*i^3 - 192*j - 164*i*j + 28*i^2*j - 28*j^2 - 
     28*i*j^2 - 451*n - 441*i*n + 10*i^2*n - 20*j*n - 20*i*j*n - 48*n^2 - 
     48*i*n^2)*f[1 + i, 2 + j, 3 + n])/6 - 
  6*(49 + 31*i - 17*i^2 + i^3 + 36*j + 32*i*j - 4*i^2*j + 4*j^2 + 4*i*j^2 + 
    6*n + 2*i*n - 4*i^2*n + 8*j*n + 8*i*j*n - 3*n^2 - 3*i*n^2)*
   f[1 + i, 3 + j, 1 + n] - 
  (3*(180 + 152*i - 27*i^2 + i^3 + 56*j + 52*i*j - 4*i^2*j + 4*j^2 + 
     4*i*j^2 + 48*n + 44*i*n - 4*i^2*n + 8*j*n + 8*i*j*n + 3*n^2 + 3*i*n^2)*
    f[1 + i, 3 + j, 3 + n])/8 + 
  (8*(19 - 28*i - 7*i^2 + 32*j + 24*i*j - 24*j^2 + 52*n - 43*i*n - 7*i^2*n + 
     56*j*n + 24*i*j*n - 24*j^2*n + 41*n^2 - 15*i*n^2 + 24*j*n^2 + 8*n^3)*
    f[2 + i, j, n])/3 + ((-576 - 30*i - 40*i^2 + 6*i^3 + 248*j - 16*i*j - 
     24*i^2*j + 144*j^2 + 64*i*j^2 - 64*j^3 - 446*n + 69*i*n - 29*i^2*n - 
     24*j*n - 8*i*j*n + 72*j^2*n - 105*n^2 + 51*i*n^2 - 48*j*n^2 - 16*n^3)*
    f[2 + i, j, 2 + n])/6 + 
  ((-120 - 344*i - 84*i^2 - 5*i^3 + 400*j + 288*i*j + 30*i^2*j - 216*j^2 - 
     56*i*j^2 + 32*j^3 + 4*n - 116*i*n - 16*i^2*n + 112*j*n + 52*i*j*n - 
     36*j^2*n + 16*n^2 - 9*i*n^2 + 6*j*n^2 + 2*n^3)*f[2 + i, j, 4 + n])/24 - 
  (8*(-21 + 16*i + 5*i^2 - 32*j - 24*i*j + 24*j^2 - 30*n + 31*i*n + 5*i^2*n - 
     56*j*n - 24*i*j*n + 24*j^2*n - 9*n^2 + 15*i*n^2 - 24*j*n^2)*
    f[2 + i, 1 + j, n])/3 + 
  ((60 + 86*i + 100*i^2 + 10*i^3 + 56*j - 384*i*j - 40*i^2*j + 352*j^2 + 
     80*i*j^2 - 64*j^3 + 64*n + 65*i*n + 25*i^2*n + 24*j*n - 120*i*j*n + 
     120*j^2*n + 15*n^2 + 15*i*n^2)*f[2 + i, 1 + j, 2 + n])/6 + 
  ((-96 + 2*i + i^2 - 100*j + i^2*j - 4*j^2 - 2*i*j^2 - 34*n - 34*j*n - 
     3*n^2 - 3*j*n^2)*f[2 + i, 1 + j, 4 + n])/12 - 
  (4*(35 + 11*i - 9*i^2 - i^3 - 8*j + 16*i*j + 4*i^2*j + 4*j^2 - 4*i*j^2 + 
     50*n + 35*i*n - i^2*n - 50*j*n - 4*i*j*n + 12*j^2*n + 15*n^2 + 
     12*i*n^2 - 18*j*n^2)*f[3 + i, j, 1 + n])/3 + 
  ((420 + 454*i + 106*i^2 + 7*i^3 - 740*j - 384*i*j - 40*i^2*j + 344*j^2 + 
     76*i*j^2 - 48*j^3 + 160*n + 151*i*n + 19*i^2*n - 238*j*n - 68*i*j*n + 
     60*j^2*n + 15*n^2 + 12*i*n^2 - 18*j*n^2)*f[3 + i, j, 3 + n])/12 - 
  (8*(-3 + i^2 - 5*j - 2*i*j + i^2*j - 2*j^2 - 2*i*j^2 - 3*n - 2*i*n - j*n - 
     2*i*j*n + 2*j^2*n)*f[3 + i, 1 + j, 1 + n])/3 + 
  ((-90 - 70*i - 7*i^2 - 22*j - 56*i*j - 7*i^2*j + 60*j^2 + 14*i*j^2 - 
     8*j^3 - 15*n - 10*i*n - 5*j*n - 10*i*j*n + 10*j^2*n)*
    f[3 + i, 1 + j, 3 + n])/6 + 
  (8*(7 + 8*i + i^2 - 16*j - 4*i*j + 4*j^2 + 10*n + 11*i*n + i^2*n - 22*j*n - 
     4*i*j*n + 4*j^2*n + 3*n^2 + 3*i*n^2 - 6*j*n^2)*f[4 + i, j, n])/3 + 
  ((-84 - 110*i - 28*i^2 - 2*i^3 + 220*j + 112*i*j + 12*i^2*j - 112*j^2 - 
     24*i*j^2 + 16*j^3 - 32*n - 37*i*n - 5*i^2*n + 74*j*n + 20*i*j*n - 
     20*j^2*n - 3*n^2 - 3*i*n^2 + 6*j*n^2)*f[4 + i, j, 2 + n])/6 + 
  (16*(-10 - 2*i - 8*j - 2*i*j + 2*j^2 - 13*n - 2*i*n - 11*j*n - 2*i*j*n + 
     2*j^2*n - 3*n^2 - 3*j*n^2)*f[4 + i, 1 + j, n])/3 + 
  ((174 + 68*i + 6*i^2 + 110*j + 56*i*j + 6*i^2*j - 56*j^2 - 12*i*j^2 + 
     8*j^3 + 47*n + 10*i*n + 37*j*n + 10*i*j*n - 10*j^2*n + 3*n^2 + 3*j*n^2)*
    f[4 + i, 1 + j, 2 + n])/3, 
 -512*(116 + 28*i - 12*i^2 - 56*j + 46*i*j - 46*j^2 + 278*n + 16*i*n - 
    12*i^2*n - 29*j*n + 46*i*j*n - 46*j^2*n + 194*n^2 - 12*i*n^2 + 27*j*n^2 + 
    32*n^3)*f[i, j, n] + (32*(904 - 4590*i + 3690*i^2 + 18*i^3 - 7072*j - 
     5706*i*j - 135*i^2*j + 4842*j^2 - 90*i*j^2 + 684*j^3 + 4734*n - 
     4032*i*n + 1512*i^2*n - 5517*j*n - 2124*i*j*n + 828*j^2*n + 3348*n^2 - 
     918*i*n^2 - 648*j*n^2 + 576*n^3)*f[i, j, 2 + n])/9 - 
  (2*(-31840 - 28008*i - 4230*i^2 - 450*i^3 - 12824*j + 2916*i*j + 
     621*i^2*j + 1188*j^2 - 882*i*j^2 - 36*j^3 - 4824*n - 8892*i*n - 
     540*i^2*n - 6444*j*n + 774*i*j*n + 522*j^2*n + 1602*n^2 - 810*i*n^2 - 
     891*j*n^2 + 288*n^3)*f[i, j, 4 + n])/9 - 
  (256*(-404 + 2520*i - 423*i^2 - 5040*j + 1692*i*j - 1692*j^2 + 3907*n + 
     2493*i*n - 423*i^2*n - 4986*j*n + 1692*i*j*n - 1692*j^2*n + 5454*n^2 - 
     27*i*n^2 + 54*j*n^2 + 1143*n^3)*f[i, 1 + j, n])/9 + 
  (16*(25398 - 26048*i + 6237*i^2 + 837*i^3 + 21856*j + 4716*i*j - 
     3294*i^2*j + 7092*j^2 + 3132*i*j^2 + 216*j^3 + 17275*n - 32571*i*n + 
     4518*i^2*n + 10134*j*n - 2520*i*j*n + 3096*j^2*n + 8424*n^2 - 
     7344*i*n^2 + 2286*n^3)*f[i, 1 + j, 2 + n])/9 + 
  ((145216 + 127576*i - 23130*i^2 + 4023*i^3 - 12080*j + 19368*i*j - 
     3402*i^2*j - 6120*j^2 + 3348*i*j^2 + 72*j^3 + 37448*n + 56196*i*n - 
     7173*i^2*n - 4968*j*n + 2772*i*j*n - 2196*j^2*n - 2970*n^2 + 
     7317*i*n^2 + 54*j*n^2 - 1143*n^3)*f[i, 1 + j, 4 + n])/9 - 
  4096*(-44 + 22*i - 2*i^2 - 44*j + 8*i*j - 8*j^2 - 41*n + 25*i*n - 2*i^2*n - 
    50*j*n + 8*i*j*n - 8*j^2*n + 7*n^2 + 3*i*n^2 - 6*j*n^2 + 4*n^3)*
   f[i, 2 + j, n] + 64*(1218 + 989*i - 238*i^2 + 27*i^3 - 720*j + 864*i*j - 
    108*i^2*j - 488*j^2 + 140*i*j^2 - 64*j^3 + 1548*n - 24*i*n - 4*i^2*n + 
    280*j*n + 88*i*j*n + 330*n^2 - 45*i*n^2 + 24*j*n^2 + 32*n^3)*
   f[i, 2 + j, 2 + n] - 4*(2640 - 2404*i + 404*i^2 - 19*i^3 + 1048*j - 
    700*i*j + 60*i^2*j + 104*j^2 - 44*i*j^2 + 1684*n - 766*i*n + 60*i^2*n + 
    496*j*n - 120*i*j*n + 32*j^2*n + 302*n^2 - 57*i*n^2 + 48*j*n^2 + 16*n^3)*
   f[i, 2 + j, 4 + n] + 2048*(55 - 16*i + i^2 + 32*j - 4*i*j + 4*j^2 + 70*n - 
    19*i*n + i^2*n + 38*j*n - 4*i*j*n + 4*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*
   f[i, 3 + j, n] - 128*(1100 - 430*i + 52*i^2 - 2*i^3 + 860*j - 208*i*j + 
    12*i^2*j + 208*j^2 - 24*i*j^2 + 16*j^3 + 260*n - 77*i*n + 5*i^2*n + 
    154*j*n - 20*i*j*n + 20*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*
   f[i, 3 + j, 2 + n] - (128*(3020 - 1854*i + 270*i^2 + 72*i^3 + 808*j - 
     108*i*j - 270*i^2*j - 900*j^2 + 252*i*j^2 + 4302*n - 2241*i*n + 
     81*i^2*n + 2376*j*n + 252*i*j*n - 828*j^2*n + 1710*n^2 - 729*i*n^2 + 
     1134*j*n^2 + 144*n^3)*f[1 + i, j, 1 + n])/9 + 
  (8*(32536 + 270*i - 1341*i^2 - 414*i^3 + 1364*j + 9360*i*j + 2142*i^2*j - 
     7776*j^2 - 3996*i*j^2 + 2736*j^3 + 18450*n - 2439*i*n - 315*i^2*n + 
     2412*j*n + 2700*i*j*n - 2700*j^2*n + 3726*n^2 - 729*i*n^2 + 702*j*n^2 + 
     288*n^3)*f[1 + i, j, 3 + n])/9 - 
  8*(96 - 8*i - 4*i^2 - 56*j + 10*i*j + i^2*j + 8*j^2 - 2*i*j^2 + 64*n - 
    2*i*n - i^2*n - 26*j*n + 2*i*j*n + 2*j^2*n + 14*n^2 - 3*j*n^2 + n^3)*
   f[1 + i, j, 5 + n] - (128*(-1508 - 5536*i - 441*i^2 + 207*i^3 - 1944*j + 
     1080*i*j - 828*i^2*j - 396*j^2 + 828*i*j^2 + 115*n - 5814*i*n + 
     171*i^2*n - 2070*j*n - 36*i*j*n - 612*j^2*n + 1530*n^2 - 1431*i*n^2 - 
     54*j*n^2 + 378*n^3)*f[1 + i, 1 + j, 1 + n])/9 + 
  (8*(77034 + 11810*i + 1656*i^2 - 945*i^3 + 136*j + 4284*i*j + 1332*i^2*j - 
     2952*j^2 - 1044*i*j^2 - 288*j^3 + 49519*n + 4788*i*n + 909*i^2*n + 
     1710*j*n + 612*i*j*n + 468*j^2*n + 10206*n^2 + 459*i*n^2 - 162*j*n^2 + 
     756*n^3)*f[1 + i, 1 + j, 3 + n])/9 + 
  ((-87616 - 50824*i - 9738*i^2 - 531*i^3 - 3472*j + 3888*i*j + 342*i^2*j - 
     3672*j^2 - 252*i*j^2 - 72*j^3 - 33560*n - 13860*i*n - 1359*i^2*n + 
     612*i*j*n - 468*j^2*n - 4338*n^2 - 945*i*n^2 + 54*j*n^2 - 189*n^3)*
    f[1 + i, 1 + j, 5 + n])/9 - 128*(-292 - 182*i - 238*i^2 + 24*i^3 + 28*j + 
    472*i*j - 96*i^2*j + 8*j^2 + 96*i*j^2 - 474*n - 481*i*n - 43*i^2*n - 
    222*j*n + 108*i*j*n - 44*j^2*n - 30*n^2 - 153*i*n^2 - 30*j*n^2 + 24*n^3)*
   f[1 + i, 2 + j, 1 + n] + 8*(520 - 2778*i + 419*i^2 - 78*i^3 - 2068*j - 
    508*i*j + 60*i^2*j - 708*j^2 - 24*i*j^2 - 80*j^3 + 2178*n - 1367*i*n + 
    145*i^2*n + 174*j*n - 180*i*j*n + 20*j^2*n + 594*n^2 - 153*i*n^2 + 
    42*j*n^2 + 48*n^3)*f[1 + i, 2 + j, 3 + n] - 
  12*(640 + 16*i - 8*i^2 + 208*j + 18*i*j - i^2*j + 16*j^2 + 2*i*j^2 + 
    224*n + 2*i*n - i^2*n + 50*j*n + 2*i*j*n + 2*j^2*n + 26*n^2 + 3*j*n^2 + 
    n^3)*f[1 + i, 2 + j, 5 + n] + 128*(-80 - 350*i + 142*i^2 - 8*i^3 - 84*j - 
    280*i*j + 32*i^2*j - 8*j^2 - 32*i*j^2 + 180*n - 85*i*n + 35*i^2*n + 
    74*j*n - 76*i*j*n + 12*j^2*n + 60*n^2 + 15*i*n^2 + 18*j*n^2)*
   f[1 + i, 3 + j, 1 + n] - 8*(4200 + 10*i - 63*i^2 + 2*i^3 + 2860*j - 
    196*i*j + 4*i^2*j + 644*j^2 - 40*i*j^2 + 48*j^3 + 1020*n + 133*i*n - 
    17*i^2*n + 502*j*n + 4*i*j*n + 60*j^2*n + 60*n^2 + 15*i*n^2 + 18*j*n^2)*
   f[1 + i, 3 + j, 3 + n] - 512*(-4 + 20*i + 4*i^2 - 28*j - 14*i*j + 14*j^2 - 
    10*n + 32*i*n + 4*i^2*n - 49*j*n - 14*i*j*n + 14*j^2*n - 6*n^2 + 
    12*i*n^2 - 21*j*n^2)*f[2 + i, j, n] - 
  (32*(-2848 - 3744*i - 378*i^2 - 36*i^3 + 2608*j + 1386*i*j + 207*i^2*j - 
     2250*j^2 - 558*i*j^2 + 468*j^3 - 990*n - 2340*i*n - 108*i^2*n + 
     2853*j*n + 612*i*j*n - 900*j^2*n - 108*n^2 - 432*i*n^2 + 648*j*n^2)*
    f[2 + i, j, 2 + n])/9 + 
  (2*(-3944 - 10728*i - 2754*i^2 - 180*i^3 + 16892*j + 9936*i*j + 
     1035*i^2*j - 8352*j^2 - 1926*i*j^2 + 1188*j^3 - 1656*n - 3780*i*n - 
     504*i^2*n + 5616*j*n + 1782*i*j*n - 1494*j^2*n - 162*n^2 - 324*i*n^2 + 
     459*j*n^2)*f[2 + i, j, 4 + n])/9 - 
  (512*(-10 + 126*i + 27*i^2 - 252*j - 126*i*j + 126*j^2 + 80*n + 234*i*n + 
     27*i^2*n - 441*j*n - 126*i*j*n + 126*j^2*n + 135*n^2 + 108*i*n^2 - 
     189*j*n^2 + 45*n^3)*f[2 + i, 1 + j, n])/9 + 
  (32*(7112 + 1440*i + 882*i^2 + 36*i^3 + 1240*j - 2754*i*j - 171*i^2*j + 
     3042*j^2 + 486*i*j^2 - 468*j^3 + 5058*n + 828*i*n + 306*i^2*n + 
     423*j*n - 1044*i*j*n + 1188*j^2*n + 1152*n^2 + 108*i*n^2 + 90*n^3)*
    f[2 + i, 1 + j, 2 + n])/9 - 
  (2*(13856 - 4086*i - 1539*i^2 - 36*i^3 + 7796*j - 72*i*j - 279*i^2*j + 
     1224*j^2 + 414*i*j^2 - 36*j^3 + 6790*n - 630*i*n - 225*i^2*n + 
     2412*j*n + 90*i*j*n + 54*j^2*n + 1017*n^2 + 189*j*n^2 + 45*n^3)*
    f[2 + i, 1 + j, 4 + n])/9 - 256*(18*i + 2*i^2 - 36*j - 8*i*j + 8*j^2 + 
    15*i*n + i^2*n - 30*j*n - 4*i*j*n + 4*j^2*n + 3*i*n^2 - 6*j*n^2)*
   f[3 + i, j, 1 + n] - 16*(-90*i - 27*i^2 - 2*i^3 + 180*j + 108*i*j + 
    12*i^2*j - 108*j^2 - 24*i*j^2 + 16*j^3 - 33*i*n - 5*i^2*n + 66*j*n + 
    20*i*j*n - 20*j^2*n - 3*i*n^2 + 6*j*n^2)*f[3 + i, j, 3 + n] - 
  (128*(-444 + 10*i + 135*i^2 + 9*i^3 - 704*j - 396*i*j - 18*i^2*j + 
     144*j^2 - 371*n - 171*i*n + 36*i^2*n - 270*j*n - 144*i*j*n + 72*j^2*n - 
     18*n^2 - 54*i*n^2 + 18*n^3)*f[3 + i, 1 + j, 1 + n])/9 + 
  (8*(-2674 - 5528*i - 1107*i^2 - 45*i^3 + 2300*j - 684*i*j - 162*i^2*j + 
     1944*j^2 + 432*i*j^2 - 288*j^3 + 1153*n - 891*i*n - 126*i^2*n + 
     450*j*n - 144*i*j*n + 360*j^2*n + 486*n^2 + 36*n^3)*
    f[3 + i, 1 + j, 3 + n])/9 + 
  ((-7280 - 2348*i - 252*i^2 - 9*i^3 - 2348*n - 504*i*n - 27*i^2*n - 
     252*n^2 - 27*i*n^2 - 9*n^3)*f[3 + i, 1 + j, 5 + n])/9 + 
  (256*(-208 - 108*i - 9*i^2 - 253*n - 135*i*n - 9*i^2*n - 36*n^2 - 
     27*i*n^2 + 9*n^3)*f[4 + i, 1 + j, n])/9 - 
  (16*(-2722 - 2504*i - 495*i^2 - 27*i^3 + 167*n - 387*i*n - 54*i^2*n + 
     216*n^2 + 18*n^3)*f[4 + i, 1 + j, 2 + n])/9 + 
  ((7280 + 2348*i + 252*i^2 + 9*i^3 + 2348*n + 504*i*n + 27*i^2*n + 252*n^2 + 
     27*i*n^2 + 9*n^3)*f[4 + i, 1 + j, 4 + n])/9, 
 (-128*(1979 + 576*i - 216*i^2 - 1152*j + 828*i*j - 828*j^2 + 4823*n + 
     414*i*n - 216*i^2*n - 774*j*n + 828*i*j*n - 828*j^2*n + 3429*n^2 - 
     162*i*n^2 + 378*j*n^2 + 585*n^3)*f[i, j, n])/27 + 
  (8*(30230 + 4574*i + 6939*i^2 - 27*i^3 - 9036*j - 8208*i*j + 36*i^2*j + 
     7056*j^2 - 360*i*j^2 + 1008*j^3 + 26429*n - 792*i*n + 2799*i^2*n - 
     6714*j*n - 3348*i*j*n + 1620*j^2*n + 8991*n^2 - 837*i*n^2 - 918*j*n^2 + 
     1170*n^3)*f[i, j, 2 + n])/27 + 
  ((-15296 + 5192*i - 1818*i^2 + 369*i^3 + 14976*j - 864*i*j - 720*i^2*j - 
     4608*j^2 + 1152*i*j^2 - 16712*n + 3924*i*n - 459*i^2*n + 8928*j*n - 
     576*i*j*n - 1152*j^2*n - 5562*n^2 + 675*i*n^2 + 1296*j*n^2 - 585*n^3)*
    f[i, j, 4 + n])/54 - (128*(-51 + 272*i - 45*i^2 - 544*j + 180*i*j - 
     180*j^2 + 390*n + 275*i*n - 45*i^2*n - 550*j*n + 180*i*j*n - 180*j^2*n + 
     561*n^2 + 3*i*n^2 - 6*j*n^2 + 120*n^3)*f[i, 1 + j, n])/3 + 
  (8*(6428 - 370*i + 740*i^2 + 66*i^3 + 1164*j + 480*i*j - 260*i^2*j + 
     288*j^2 + 264*i*j^2 - 16*j^3 + 4888*n - 1939*i*n + 471*i^2*n + 
     1030*j*n - 268*i*j*n + 300*j^2*n + 1425*n^2 - 525*i*n^2 + 18*j*n^2 + 
     240*n^3)*f[i, 1 + j, 2 + n])/3 - 
  (4*(160 - 792*i + 332*i^2 - 36*i^3 + 408*j - 226*i*j + 31*i^2*j + 120*j^2 - 
     30*i*j^2 + 232*n - 440*i*n + 87*i^2*n + 114*j*n - 34*i*j*n + 30*j^2*n + 
     108*n^2 - 66*i*n^2 + 3*j*n^2 + 15*n^3)*f[i, 1 + j, 4 + n])/3 - 
  (128*(-643 + 320*i - 29*i^2 - 640*j + 116*i*j - 116*j^2 - 610*n + 365*i*n - 
     29*i^2*n - 730*j*n + 116*i*j*n - 116*j^2*n + 89*n^2 + 45*i*n^2 - 
     90*j*n^2 + 56*n^3)*f[i, 2 + j, n])/3 + 
  (8*(3180 + 3802*i - 684*i^2 + 86*i^3 - 3852*j + 2848*i*j - 348*i^2*j - 
     1952*j^2 + 472*i*j^2 - 240*j^3 + 5376*n + 99*i*n + 23*i^2*n + 698*j*n + 
     244*i*j*n - 20*j^2*n + 1209*n^2 - 123*i*n^2 + 78*j*n^2 + 112*n^3)*
    f[i, 2 + j, 2 + n])/3 - 
  (28*(240 - 124*i + 20*i^2 - i^3 + 88*j - 34*i*j + 3*i^2*j + 8*j^2 - 
     2*i*j^2 + 124*n - 40*i*n + 3*i^2*n + 34*j*n - 6*i*j*n + 2*j^2*n + 
     20*n^2 - 3*i*n^2 + 3*j*n^2 + n^3)*f[i, 2 + j, 4 + n])/3 + 
  (896*(55 - 16*i + i^2 + 32*j - 4*i*j + 4*j^2 + 70*n - 19*i*n + i^2*n + 
     38*j*n - 4*i*j*n + 4*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*f[i, 3 + j, n])/
   3 - (56*(1100 - 430*i + 52*i^2 - 2*i^3 + 860*j - 208*i*j + 12*i^2*j + 
     208*j^2 - 24*i*j^2 + 16*j^3 + 260*n - 77*i*n + 5*i^2*n + 154*j*n - 
     20*i*j*n + 20*j^2*n + 15*n^2 - 3*i*n^2 + 6*j*n^2)*f[i, 3 + j, 2 + n])/
   3 - (64*(-636 - 2366*i + 297*i^2 + 81*i^3 + 448*j - 396*i*j - 306*i^2*j - 
     432*j^2 + 288*i*j^2 + 731*n - 2529*i*n + 90*i^2*n + 1602*j*n + 
     144*i*j*n - 648*j^2*n + 810*n^2 - 756*i*n^2 + 864*j*n^2 + 126*n^3)*
    f[1 + i, j, 1 + n])/27 + 
  (4*(17698 - 1856*i - 963*i^2 - 441*i^3 - 2308*j + 5940*i*j + 1710*i^2*j - 
     5400*j^2 - 3024*i*j^2 + 2016*j^3 + 11591*n - 2349*i*n + 36*i^2*n + 
     594*j*n + 1584*i*j*n - 1800*j^2*n + 2646*n^2 - 702*i*n^2 + 432*j*n^2 + 
     252*n^3)*f[1 + i, j, 3 + n])/27 + 
  ((-6592 + 280*i + 378*i^2 - 9*i^3 + 4032*j - 720*i*j - 72*i^2*j - 576*j^2 + 
     144*i*j^2 - 4312*n - 36*i*n + 99*i^2*n + 1872*j*n - 144*i*j*n - 
     144*j^2*n - 918*n^2 - 27*i*n^2 + 216*j*n^2 - 63*n^3)*f[1 + i, j, 5 + n])/
   54 + (64*(713 + 727*i + 31*i^2 - 23*i^3 - 28*j - 24*i*j + 92*i^2*j - 
     76*j^2 - 92*i*j^2 + 758*n + 700*i*n - 26*i^2*n + 116*j*n + 48*i*j*n + 
     8*j^2*n + 165*n^2 + 159*i*n^2 + 12*j*n^2)*f[1 + i, 1 + j, 1 + n])/3 - 
  (4*(2956 + 2924*i + 289*i^2 + 83*i^3 + 320*j - 348*i*j - 68*i^2*j + 
     308*j^2 + 44*i*j^2 + 32*j^3 + 1360*n + 1322*i*n + 38*i^2*n + 76*j*n - 
     96*i*j*n + 40*j^2*n + 165*n^2 + 159*i*n^2 + 12*j*n^2)*
    f[1 + i, 1 + j, 3 + n])/3 - 
  (128*(-65 - 177*i - 101*i^2 + 11*i^3 + 224*j + 180*i*j - 44*i^2*j + 
     44*j^2 + 44*i*j^2 - 260*n - 276*i*n - 16*i^2*n + 32*j*n + 32*i*j*n - 
     75*n^2 - 75*i*n^2)*f[1 + i, 2 + j, 1 + n])/3 - 
  (8*(1828 + 1732*i - 57*i^2 + 39*i^3 + 304*j + 260*i*j - 44*i^2*j + 44*j^2 + 
     44*i*j^2 + 706*n + 690*i*n - 16*i^2*n + 32*j*n + 32*i*j*n + 75*n^2 + 
     75*i*n^2)*f[1 + i, 2 + j, 3 + n])/3 - 
  (448*(49 + 31*i - 17*i^2 + i^3 + 36*j + 32*i*j - 4*i^2*j + 4*j^2 + 
     4*i*j^2 + 6*n + 2*i*n - 4*i^2*n + 8*j*n + 8*i*j*n - 3*n^2 - 3*i*n^2)*
    f[1 + i, 3 + j, 1 + n])/3 - 
  (28*(180 + 152*i - 27*i^2 + i^3 + 56*j + 52*i*j - 4*i^2*j + 4*j^2 + 
     4*i*j^2 + 48*n + 44*i*n - 4*i^2*n + 8*j*n + 8*i*j*n + 3*n^2 + 3*i*n^2)*
    f[1 + i, 3 + j, 3 + n])/3 + 
  (256*(188 - 180*i - 45*i^2 + 252*j + 162*i*j - 162*j^2 + 413*n - 288*i*n - 
     45*i^2*n + 441*j*n + 162*i*j*n - 162*j^2*n + 270*n^2 - 108*i*n^2 + 
     189*j*n^2 + 45*n^3)*f[2 + i, j, n])/27 - 
  (16*(2870 - 144*i + 351*i^2 - 36*i^3 - 808*j + 126*i*j + 171*i^2*j - 
     1134*j^2 - 486*i*j^2 + 468*j^3 + 1881*n - 900*i*n + 198*i^2*n + 
     873*j*n + 108*i*j*n - 540*j^2*n + 396*n^2 - 432*i*n^2 + 432*j*n^2 + 
     90*n^3)*f[2 + i, j, 2 + n])/27 + 
  ((-10144 - 14040*i - 3438*i^2 - 180*i^3 + 17692*j + 11448*i*j + 
     1143*i^2*j - 8424*j^2 - 2142*i*j^2 + 1188*j^3 - 2732*n - 4644*i*n - 
     693*i^2*n + 4932*j*n + 2106*i*j*n - 1386*j^2*n + 126*n^2 - 324*i*n^2 + 
     243*j*n^2 + 45*n^3)*f[2 + i, j, 4 + n])/27 - 
  (256*(-18 + 14*i + 4*i^2 - 28*j - 18*i*j + 18*j^2 - 27*n + 26*i*n + 
     4*i^2*n - 49*j*n - 18*i*j*n + 18*j^2*n - 9*n^2 + 12*i*n^2 - 21*j*n^2)*
    f[2 + i, 1 + j, n])/3 + 
  (16*(542 + 756*i + 729*i^2 + 72*i^3 + 344*j - 2646*i*j - 279*i^2*j + 
     2358*j^2 + 558*i*j^2 - 468*j^3 + 495*n + 504*i*n + 180*i^2*n + 171*j*n - 
     828*i*j*n + 828*j^2*n + 108*n^2 + 108*i*n^2)*f[2 + i, 1 + j, 2 + n])/
   27 + ((-6400 - 90*i + 99*i^2 - 6436*j - 288*i*j + 99*i^2*j - 198*i*j^2 + 
     36*j^3 - 2214*n - 54*i*n - 2160*j*n - 54*i*j*n + 54*j^2*n - 189*n^2 - 
     189*j*n^2)*f[2 + i, 1 + j, 4 + n])/27 + 
  (64*(-620 - 386*i + 63*i^2 + 9*i^3 + 396*j - 72*i*j - 36*i^2*j - 108*j^2 + 
     36*i*j^2 - 659*n - 567*i*n + 720*j*n + 72*i*j*n - 144*j^2*n - 126*n^2 - 
     162*i*n^2 + 216*j*n^2 + 18*n^3)*f[3 + i, j, 1 + n])/27 - 
  (4*(-3810 - 6500*i - 1755*i^2 - 117*i^3 + 9764*j + 5976*i*j + 648*i^2*j - 
     4932*j^2 - 1188*i*j^2 + 720*j^3 - 359*n - 1863*i*n - 306*i^2*n + 
     2520*j*n + 1008*i*j*n - 792*j^2*n + 270*n^2 - 108*i*n^2 + 108*j*n^2 + 
     36*n^3)*f[3 + i, j, 3 + n])/27 + 
  ((3520 + 1448*i + 198*i^2 + 9*i^3 - 2896*j - 792*i*j - 54*i^2*j + 792*j^2 + 
     108*i*j^2 - 72*j^3 + 1448*n + 396*i*n + 27*i^2*n - 792*j*n - 108*i*j*n + 
     108*j^2*n + 198*n^2 + 27*i*n^2 - 54*j*n^2 + 9*n^3)*f[3 + i, j, 5 + n])/
   54 - (128*(-100 - 36*i + 9*i^2 - 82*j - 54*i*j + 9*i^2*j + 18*j^2 - 
     18*i*j^2 - 63*n - 36*i*n - 27*j*n - 36*i*j*n + 36*j^2*n)*
    f[3 + i, 1 + j, 1 + n])/27 - 
  (8*(1694 + 1296*i + 135*i^2 + 416*j + 1026*i*j + 135*i^2*j - 1134*j^2 - 
     270*i*j^2 + 144*j^3 + 279*n + 180*i*n + 99*j*n + 180*i*j*n - 180*j^2*n)*
    f[3 + i, 1 + j, 3 + n])/27 - 
  (128*(-28 - 72*i - 9*i^2 + 144*j + 36*i*j - 36*j^2 - 19*n - 99*i*n - 
     9*i^2*n + 198*j*n + 36*i*j*n - 36*j^2*n + 18*n^2 - 27*i*n^2 + 54*j*n^2 + 
     9*n^3)*f[4 + i, j, n])/27 + 
  (8*(522 - 848*i - 333*i^2 - 27*i^3 + 1696*j + 1332*i*j + 162*i^2*j - 
     1332*j^2 - 324*i*j^2 + 216*j^3 + 725*n - 171*i*n - 54*i^2*n + 342*j*n + 
     216*i*j*n - 216*j^2*n + 216*n^2 + 18*n^3)*f[4 + i, j, 2 + n])/27 + 
  ((-3520 - 1448*i - 198*i^2 - 9*i^3 + 2896*j + 792*i*j + 54*i^2*j - 
     792*j^2 - 108*i*j^2 + 72*j^3 - 1448*n - 396*i*n - 27*i^2*n + 792*j*n + 
     108*i*j*n - 108*j^2*n - 198*n^2 - 27*i*n^2 + 54*j*n^2 - 9*n^3)*
    f[4 + i, j, 4 + n])/54 + 
  (256*(-10 - 2*i - 8*j - 2*i*j + 2*j^2 - 13*n - 2*i*n - 11*j*n - 2*i*j*n + 
     2*j^2*n - 3*n^2 - 3*j*n^2)*f[4 + i, 1 + j, n])/3 + 
  (16*(1622 + 828*i + 81*i^2 + 848*j + 666*i*j + 81*i^2*j - 666*j^2 - 
     162*i*j^2 + 108*j^3 + 279*n + 108*i*n + 171*j*n + 108*i*j*n - 108*j^2*n)*
    f[4 + i, 1 + j, 2 + n])/27 + 
  ((1880 + 450*i + 27*i^2 + 1448*j + 396*i*j + 27*i^2*j - 396*j^2 - 
     54*i*j^2 + 36*j^3 + 450*n + 54*i*n + 396*j*n + 54*i*j*n - 54*j^2*n + 
     27*n^2 + 27*j*n^2)*f[4 + i, 1 + j, 4 + n])/27, 
 (-32*(41 + 81*i^2 + 108*i*j - 108*j^2 + 104*n - 405*i*n + 81*i^2*n + 
     162*j*n + 108*i*j*n - 108*j^2*n + 261*n^2 - 405*i*n^2 + 162*j*n^2 + 
     198*n^3)*f[i, j, n])/81 - 
  (2*(44832 - 16340*i - 2718*i^2 + 342*i^3 + 8788*j + 7128*i*j - 1008*i^2*j - 
     5112*j^2 + 792*i*j^2 - 288*j^3 + 41006*n - 11205*i*n - 891*i^2*n + 
     6930*j*n + 2700*i*j*n - 1692*j^2*n + 12519*n^2 - 2079*i*n^2 + 
     1242*j*n^2 + 1332*n^3)*f[i, j, 2 + n])/81 + 
  ((143968 - 13884*i + 14418*i^2 - 648*i^3 - 41960*j - 18252*i*j + 
     414*i^2*j + 12240*j^2 - 792*i*j^2 + 1368*j^3 + 93124*n - 10008*i*n + 
     3825*i^2*n - 16452*j*n - 4140*i*j*n + 1908*j^2*n + 20934*n^2 - 
     1674*i*n^2 - 1458*j*n^2 + 1629*n^3)*f[i, j, 4 + n])/324 + 
  ((-9444 + 764*i + 81*i^2 + 9*i^3 + 4320*j - 450*i*j - 45*i^2*j - 540*j^2 + 
     90*i*j^2 - 5084*n + 288*i*n + 18*i^2*n + 1530*j*n - 90*i*j*n - 
     90*j^2*n - 909*n^2 + 27*i*n^2 + 135*j*n^2 - 54*n^3)*f[i, j, 6 + n])/
   324 - (32*(-43 + 144*i - 27*i^2 - 288*j + 108*i*j - 108*j^2 + 236*n + 
     117*i*n - 27*i^2*n - 234*j*n + 108*i*j*n - 108*j^2*n + 333*n^2 - 
     27*i*n^2 + 54*j*n^2 + 54*n^3)*f[i, 1 + j, n])/27 - 
  (2*(66168 + 7610*i - 6210*i^2 + 216*i^3 - 32484*j + 14184*i*j - 720*i^2*j - 
     12024*j^2 + 720*i*j^2 - 288*j^3 + 74238*n + 2187*i*n - 2241*i^2*n - 
     11862*j*n + 5076*i*j*n - 4212*j^2*n + 24597*n^2 - 189*i*n^2 - 54*j*n^2 + 
     2268*n^3)*f[i, 1 + j, 2 + n])/81 + 
  ((209808 - 95424*i + 16002*i^2 + 567*i^3 + 33984*j - 2664*i*j - 
     2538*i^2*j + 10440*j^2 + 2556*i*j^2 - 72*j^3 + 126692*n - 51300*i*n + 
     4833*i^2*n + 11448*j*n - 3420*i*j*n + 3564*j^2*n + 28494*n^2 - 
     6183*i*n^2 + 54*j*n^2 + 2511*n^3)*f[i, 1 + j, 4 + n])/324 + 
  ((-3516 + 10576*i - 2961*i^2 + 216*i^3 - 3240*j + 1620*i*j - 180*i^2*j - 
     1080*j^2 + 180*i*j^2 - 3556*n + 3942*i*n - 513*i^2*n - 540*j*n + 
     180*i*j*n - 180*j^2*n - 981*n^2 + 378*i*n^2 - 81*n^3)*
    f[i, 1 + j, 6 + n])/324 - 
  (32*(-619 + 288*i - 27*i^2 - 576*j + 108*i*j - 108*j^2 - 556*n + 315*i*n - 
     27*i^2*n - 630*j*n + 108*i*j*n - 108*j^2*n + 117*n^2 + 27*i*n^2 - 
     54*j*n^2 + 54*n^3)*f[i, 2 + j, n])/27 - 
  (2*(-27484 + 18488*i - 1710*i^2 - 162*i^3 - 45564*j + 5112*i*j + 
     504*i^2*j - 4968*j^2 - 504*i*j^2 + 288*j^3 - 1322*n + 10125*i*n - 
     945*i^2*n - 25434*j*n + 2628*i*j*n - 2772*j^2*n + 7425*n^2 + 891*i*n^2 - 
     2106*j*n^2 + 1116*n^3)*f[i, 2 + j, 2 + n])/81 + 
  ((226544 + 33452*i - 6138*i^2 + 990*i^3 - 24408*j + 36684*i*j - 
     3978*i^2*j - 22896*j^2 + 5400*i*j^2 - 2808*j^3 + 137032*n - 7362*i*n + 
     513*i^2*n + 13104*j*n + 2412*i*j*n - 36*j^2*n + 22608*n^2 - 1674*i*n^2 + 
     1026*j*n^2 + 1359*n^3)*f[i, 2 + j, 4 + n])/324 - 
  (5*(576 - 216*i + 26*i^2 - i^3 + 168*j - 46*i*j + 3*i^2*j + 12*j^2 - 
     2*i*j^2 + 216*n - 52*i*n + 3*i^2*n + 46*j*n - 6*i*j*n + 2*j^2*n + 
     26*n^2 - 3*i*n^2 + 3*j*n^2 + n^3)*f[i, 2 + j, 6 + n])/36 + 
  (32*(1555 - 432*i + 27*i^2 + 864*j - 108*i*j + 108*j^2 + 2032*n - 513*i*n + 
     27*i^2*n + 1026*j*n - 108*i*j*n + 108*j^2*n + 495*n^2 - 81*i*n^2 + 
     162*j*n^2 + 18*n^3)*f[i, 3 + j, n])/81 - 
  (2*(-16252 + 2146*i + 486*i^2 - 36*i^3 - 4292*j - 1944*i*j + 216*i^2*j + 
     1944*j^2 - 432*i*j^2 + 288*j^3 - 13346*n + 3321*i*n - 63*i^2*n - 
     6642*j*n + 252*i*j*n - 252*j^2*n - 1593*n^2 + 405*i*n^2 - 810*j*n^2 + 
     36*n^3)*f[i, 3 + j, 2 + n])/81 + 
  ((-138144 + 50176*i - 5274*i^2 + 171*i^3 - 100352*j + 21096*i*j - 
     1026*i^2*j - 21096*j^2 + 2052*i*j^2 - 1368*j^3 - 25336*n + 7398*i*n - 
     423*i^2*n - 14796*j*n + 1692*i*j*n - 1692*j^2*n - 1044*n^2 + 243*i*n^2 - 
     486*j*n^2 + 9*n^3)*f[i, 3 + j, 4 + n])/324 + 
  (8*(3092 - 2442*i - 306*i^2 + 216*i^3 - 1596*j + 2088*i*j - 432*i^2*j - 
     1224*j^2 + 7354*n - 3087*i*n - 693*i^2*n - 2250*j*n + 2340*i*j*n - 
     612*j^2*n + 5598*n^2 - 783*i*n^2 - 1674*j*n^2 + 1584*n^3)*
    f[1 + i, j, 1 + n])/81 + 
  ((-117256 + 42798*i - 9981*i^2 - 702*i^3 + 33572*j + 11556*i*j + 
     3492*i^2*j - 4068*j^2 - 3816*i*j^2 + 432*j^3 - 108606*n + 27225*i*n - 
     3015*i^2*n + 10566*j*n + 2412*i*j*n + 468*j^2*n - 32382*n^2 + 
     4671*i*n^2 - 54*j*n^2 - 3168*n^3)*f[1 + i, j, 3 + n])/162 + 
  ((17874 - 6618*i - 1368*i^2 - 99*i^3 + 1496*j + 5382*i*j + 558*i^2*j - 
     4014*j^2 - 1080*i*j^2 + 684*j^3 + 9476*n - 2520*i*n - 243*i^2*n + 
     846*j*n + 990*i*j*n - 774*j^2*n + 1674*n^2 - 243*i*n^2 + 108*j*n^2 + 
     99*n^3)*f[1 + i, j, 5 + n])/162 + 
  (8*(5294 + 3640*i - 648*i^2 - 54*i^3 - 4932*j + 2376*i*j + 216*i^2*j - 
     2160*j^2 - 216*i*j^2 + 6812*n + 2385*i*n - 459*i^2*n - 2898*j*n + 
     1404*i*j*n - 972*j^2*n + 2538*n^2 + 243*i*n^2 - 378*j*n^2 + 288*n^3)*
    f[1 + i, 1 + j, 1 + n])/81 + 
  ((40728 + 63530*i - 3501*i^2 - 756*i^3 + 27796*j - 6588*i*j + 3492*i^2*j + 
     3420*j^2 - 4176*i*j^2 + 432*j^3 + 12928*n + 32085*i*n - 2025*i^2*n + 
     14958*j*n + 324*i*j*n + 972*j^2*n - 1674*n^2 + 3861*i*n^2 + 1890*j*n^2 - 
     576*n^3)*f[1 + i, 1 + j, 3 + n])/162 + 
  ((-17920 - 14032*i + 2232*i^2 - 261*i^3 - 6856*j + 702*i*j + 351*i^2*j - 
     612*j^2 - 342*i*j^2 - 72*j^3 - 4868*n - 5364*i*n + 378*i^2*n - 
     2142*j*n + 198*i*j*n - 18*j^2*n - 108*n^2 - 513*i*n^2 - 189*j*n^2 + 
     36*n^3)*f[1 + i, 1 + j, 5 + n])/324 + 
  (8*(512 + 4526*i + 486*i^2 - 108*i^3 - 6948*j - 216*i*j + 432*i^2*j - 
     1512*j^2 - 432*i*j^2 + 5742*n + 4527*i*n - 135*i^2*n - 3150*j*n + 
     540*i*j*n - 540*j^2*n + 3006*n^2 + 891*i*n^2 - 270*j*n^2 + 360*n^3)*
    f[1 + i, 2 + j, 1 + n])/81 + 
  ((-6608 + 74338*i + 5589*i^2 - 1422*i^3 - 18684*j - 18468*i*j + 
     4356*i^2*j + 324*j^2 - 4536*i*j^2 + 720*j^3 - 11826*n + 47439*i*n - 
     405*i^2*n - 9630*j*n - 540*i*j*n - 900*j^2*n - 5238*n^2 + 6237*i*n^2 - 
     810*j*n^2 - 720*n^3)*f[1 + i, 2 + j, 3 + n])/162 + 
  ((-13124 - 39728*i + 639*i^2 - 477*i^3 + 5040*j - 2970*i*j + 495*i^2*j + 
     180*j^2 - 450*i*j^2 - 1836*n - 11646*i*n + 135*i^2*n + 1890*j*n - 
     270*i*j*n + 90*j^2*n + 279*n^2 - 891*i*n^2 + 135*j*n^2 + 45*n^3)*
    f[1 + i, 2 + j, 5 + n])/324 - 
  (8*(7826 + 644*i - 828*i^2 + 54*i^3 + 5004*j + 1368*i*j - 216*i^2*j + 
     576*j^2 + 216*i*j^2 + 4212*n - 459*i*n - 171*i^2*n + 2502*j*n + 
     252*i*j*n + 180*j^2*n + 486*n^2 - 189*i*n^2 + 270*j*n^2)*
    f[1 + i, 3 + j, 1 + n])/81 + 
  ((24112 - 26450*i + 10881*i^2 - 432*i^3 + 18324*j - 25668*i*j + 
     1908*i^2*j + 7812*j^2 - 2448*i*j^2 + 720*j^3 + 11520*n + 63*i*n + 
     1593*i^2*n + 3834*j*n - 3636*i*j*n + 900*j^2*n + 1566*n^2 + 891*i*n^2 + 
     270*j*n^2)*f[1 + i, 3 + j, 3 + n])/162 - 
  (5*(288 + 252*i - 35*i^2 + i^3 + 72*j + 68*i*j - 4*i^2*j + 4*j^2 + 
     4*i*j^2 + 60*n + 56*i*n - 4*i^2*n + 8*j*n + 8*i*j*n + 3*n^2 + 3*i*n^2)*
    f[1 + i, 3 + j, 5 + n])/36 - 
  (256*(-97 - 36*i - 9*i^2 - 36*j + 18*i*j - 18*j^2 - 88*n - 36*i*n - 
     9*i^2*n - 63*j*n + 18*i*j*n - 18*j^2*n + 27*n^2 - 27*j*n^2 + 18*n^3)*
    f[2 + i, j, n])/27 - (8*(61 + 3352*i - 243*i^2 - 54*i^3 + 996*j + 
     864*i*j + 432*i^2*j + 1296*j^2 - 648*i*j^2 - 2708*n + 2007*i*n - 
     171*i^2*n - 2250*j*n + 36*i*j*n + 1260*j^2*n - 639*n^2 + 513*i*n^2 - 
     1242*j*n^2 + 72*n^3)*f[2 + i, j, 2 + n])/81 + 
  ((14424 + 14068*i + 2250*i^2 + 216*i^3 - 33544*j - 9864*i*j - 900*i^2*j + 
     16128*j^2 + 1872*i*j^2 - 1872*j^3 + 14542*n + 5733*i*n + 243*i^2*n - 
     18216*j*n - 1872*i*j*n + 3744*j^2*n + 4779*n^2 + 729*i*n^2 - 
     2484*j*n^2 + 468*n^3)*f[2 + i, j, 4 + n])/162 + 
  ((-7840 - 908*i - 63*i^2 - 9*i^3 + 4840*j + 414*i*j + 27*i^2*j - 1008*j^2 - 
     54*i*j^2 + 72*j^3 - 3932*n - 288*i*n + 1602*j*n + 54*i*j*n - 162*j^2*n - 
     657*n^2 - 27*i*n^2 + 135*j*n^2 - 36*n^3)*f[2 + i, j, 6 + n])/324 + 
  (256*(2 - 2*i + 4*j - 2*i*j + 2*j^2 + 5*n - 2*i*n + 7*j*n - 2*i*j*n + 
     2*j^2*n + 3*n^2 + 3*j*n^2)*f[2 + i, 1 + j, n])/3 - 
  (16*(640 - 540*i + 54*i^2 + 1072*j - 648*i*j + 54*i^2*j + 432*j^2 - 
     108*i*j^2 + 477*n - 198*i*n + 675*j*n - 198*i*j*n + 198*j^2*n + 81*n^2 + 
     81*j*n^2)*f[2 + i, 1 + j, 2 + n])/81 - 
  (4*(346 + 792*i + 63*i^2 - 392*j + 666*i*j + 63*i^2*j - 648*j^2 - 
     126*i*j^2 + 90*j^3 + 54*n + 126*i*n - 72*j*n + 126*i*j*n - 126*j^2*n)*
    f[2 + i, 1 + j, 4 + n])/81 + 
  (32*(-1450 - 1392*i - 540*i^2 - 54*i^3 + 540*j + 1080*i*j + 216*i^2*j - 
     216*i*j^2 + 568*n + 81*i*n - 81*i^2*n - 1890*j*n - 108*i*j*n + 
     540*j^2*n + 1062*n^2 + 243*i*n^2 - 810*j*n^2 + 234*n^3)*
    f[3 + i, j, 1 + n])/81 - 
  (2*(16070 + 80*i - 1017*i^2 - 72*i^3 - 15988*j - 36*i*j + 216*i^2*j + 
     4140*j^2 - 288*j^3 + 18328*n + 2223*i*n - 99*i^2*n - 10926*j*n - 
     468*i*j*n + 1332*j^2*n + 5400*n^2 + 459*i*n^2 - 1566*j*n^2 + 468*n^3)*
    f[3 + i, j, 3 + n])/81 + 
  ((24160 + 1652*i - 315*i^2 - 18*i^3 - 11944*j - 252*i*j + 54*i^2*j + 
     1764*j^2 - 72*j^3 + 12884*n + 990*i*n - 27*i^2*n - 4356*j*n - 
     108*i*j*n + 324*j^2*n + 2169*n^2 + 108*i*n^2 - 378*j*n^2 + 117*n^3)*
    f[3 + i, j, 5 + n])/324 + 
  (64*(-356 + 36*i + 18*i^2 - 428*j + 18*i^2*j - 72*j^2 - 36*i*j^2 - 369*n - 
     18*i*n - 351*j*n - 18*i*j*n + 18*j^2*n - 81*n^2 - 81*j*n^2)*
    f[3 + i, 1 + j, 1 + n])/27 + 
  (4*(10394 + 990*i + 9692*j + 990*i*j - 558*j^2 + 144*j^3 + 4401*n + 
     234*i*n + 4167*j*n + 234*i*j*n - 234*j^2*n + 459*n^2 + 459*j*n^2)*
    f[3 + i, 1 + j, 3 + n])/81 + 
  ((-2695 - 171*i - 2560*j - 171*i*j + 117*j^2 - 18*j^3 - 765*n - 27*i*n - 
     738*j*n - 27*i*j*n + 27*j^2*n - 54*n^2 - 54*j*n^2)*
    f[3 + i, 1 + j, 5 + n])/81 - 
  (128*(133 + 72*i + 9*i^2 - 144*j - 36*i*j + 36*j^2 + 232*n + 99*i*n + 
     9*i^2*n - 198*j*n - 36*i*j*n + 36*j^2*n + 117*n^2 + 27*i*n^2 - 
     54*j*n^2 + 18*n^3)*f[4 + i, j, n])/27 + 
  (8*(2961 + 896*i + 63*i^2 - 1792*j - 252*i*j + 252*j^2 + 2116*n + 450*i*n + 
     18*i^2*n - 900*j*n - 72*i*j*n + 72*j^2*n + 486*n^2 + 54*i*n^2 - 
     108*j*n^2 + 36*n^3)*f[4 + i, j, 2 + n])/27 + 
  ((-5600 - 1132*i - 54*i^2 + 2264*j + 216*i*j - 216*j^2 - 2500*n - 351*i*n - 
     9*i^2*n + 702*j*n + 36*i*j*n - 36*j^2*n - 369*n^2 - 27*i*n^2 + 
     54*j*n^2 - 18*n^3)*f[4 + i, j, 4 + n])/54 - 
  (256*(-10 - 2*i - 8*j - 2*i*j + 2*j^2 - 13*n - 2*i*n - 11*j*n - 2*i*j*n + 
     2*j^2*n - 3*n^2 - 3*j*n^2)*f[4 + i, 1 + j, n])/3 + 
  (32*(-511 - 63*i - 448*j - 63*i*j + 63*j^2 - 243*n - 18*i*n - 225*j*n - 
     18*i*j*n + 18*j^2*n - 27*n^2 - 27*j*n^2)*f[4 + i, 1 + j, 2 + n])/27 + 
  ((1240 + 108*i + 1132*j + 108*i*j - 108*j^2 + 369*n + 18*i*n + 351*j*n + 
     18*i*j*n - 18*j^2*n + 27*n^2 + 27*j*n^2)*f[4 + i, 1 + j, 4 + n])/27}
