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449781369856,      423832444672,      228217470208,      76803956320,      16542390592,      2226860272,       171296944,        5764801;\n  7:    5429503678976,    13156105068288,    14168113150464,     8900481338112,    3594425155776,     967729849632,    173695101216,     20041742448,     1348963434,      40353607;\n  8:  141167095653376,   380065257528320,   460463677390080,   330589306844160,  155758423416960,   50321952180864,  11290181579040,   1736951012160,   175365246420,   10491937820,   282475249;\n  9: 3670344486987776, 10869866365309952, 14632512414840320, 11818567719678720, 6363844156750080, 2398679720621184, 645798386321088, 124191997369440, 16718153492040, 1500347108260, 80787921214, 1977326743;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (26+7*x)*P(n-1,x) for n >= 1, with P(0,x) = 676 + 364*x + 49*x^2.","mathematica":"P[0, x_] := 676 + 364*x + 49*x^2;\nP[n_, x_] := P[n, x] = Expand[(26 + 7*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] = 676 + 364*x + 49*x^2; for(n = 1, N, my(i = n + 1); v[i] = (26 + 7*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-5cf6acfdac607d6d","steps":["x \u21a6 x+1","basis A007318"],"edges":["e-737551651b8dc504","e-7f833b2abbfe7019"],"text":"A038333 \u2192 x \u21a6 x+1 \u2192 basis A007318"},"headline":"A038333 \u2192 x \u21a6 x+1 \u2192 basis A007318","chain":null}