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19487171;\n  6:     1785793904896,      4622054812672,      5233797361408,      3386574763264,      1369570676320,       354477116224,       57341886448,       5300510512,        214358881;\n  7:    60716992766464,    176793596584704,    228791713227264,    172715312926464,     83817725390784,     27117499391136,     5848872417696,     810978108336,      65593817586,      2357947691;\n  8:  2064377754059776,   6678869204311040,   9723647812158720,   8389029484999680,   4749671105477760,   1843989958597248,   497154155504160,   91910852278080,   11150948989620,    801702214940,   25937424601;\n  9: 70188843638032384, 249789708241232896, 404071586860817920, 392187128423735040, 253768141921240320, 114942040752561792, 37187130831711168, 8593664688000480, 1390151640705960, 149918314193780, 9700596800774, 285311670611;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (34+11*x)*P(n-1,x) for n >= 1, with P(0,x) = 1156 + 748*x + 121*x^2.","mathematica":"P[0, x_] := 1156 + 748*x + 121*x^2;\nP[n_, x_] := P[n, x] = Expand[(34 + 11*x)*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1156 + 748*x + 121*x^2; for(n = 1, N, my(i = n + 1); v[i] = (34 + 11*x)*v[i - 1]); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i - 1, v[i])))};\nT(9)","reading":{"first_row":0,"offset":0,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-344e4bfa9933088a","steps":["basis A007318","basis A007318"],"edges":["e-347b6efdbfa5233f","e-63a4a75a52e3225f"],"text":"A038337 \u2192 basis A007318 \u2192 basis A007318"},"headline":"A038337 \u2192 basis A007318 \u2192 basis A007318","chain":null}