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6377292,        531441;\n  7:   4782969,   66961566,   435250179,   1741000716,    4787751969,    9575503938,   14363255907,    16415149608,    14363255907,     9575503938,     4787751969,     1741000716,     435250179,      66961566,       4782969;\n  8:  43046721,  688747536,  5165606520,  24106163760,   78345032220,  188028077328,  344718141768,   492454488240,   554011299270,   492454488240,   344718141768,   188028077328,   78345032220,   24106163760,    5165606520,    688747536,    43046721;\n  9: 387420489, 6973568802, 59275334817, 316135119024, 1185506696340, 3319418749752, 7192073957796, 12329269641936, 16952745757662, 18836384175180, 16952745757662, 12329269641936, 7192073957796, 3319418749752, 1185506696340, 316135119024, 59275334817, 6973568802, 387420489;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (9+18*x+9*x^2)*P(n-1,x) for n >= 1, with P(0,x) = 1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[(9 + 18*x + 9*x^2)*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = (9 + 18*x + 9*x^2)*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-08f49539099949d5","steps":["x \u21a6 x+1","basis A013610"],"edges":["e-cfe8f3b6680af0c3","e-68b80bd859ca25e0"],"text":"A034870 \u2192 x \u21a6 x+1 \u2192 basis A013610"},"headline":"A034870 \u2192 x \u21a6 x+1 \u2192 basis A013610","chain":null}