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      2360279040,         1798307840,          770703360,          176160768,           16777216;\n  5:      13492928512,       53971714048,        92522938368,        88117084160,        50352619520,        17263755264,         3288334336,         268435456;\n  6:     377801998336,     1727094849536,      3454189699072,      3947645370368,      2819746693120,      1289027059712,       368293445632,       60129542144,        4294967296;\n  7:   10578455953408,    54403487760384,    124350829166592,    165801105555456,    142115233333248,     81208704761856,     30936649433088,     7576322310144,     1082331758592,      68719476736;\n  8:  296196766695424,  1692552952545280,   4352279020830720,   6632044222218240,   6632044222218240,   4547687466663936,   2165565460316160,   707123415613440,   151526446202880,   19241453486080,   1099511627776;\n  9: 8293509467471872, 52130630938394624, 148944659823984640, 255333702555402240, 291809945777602560, 233447956622082048, 133398832355475456, 54448503002234880, 15556715143495680, 2963183836856320, 338649581355008, 17592186044416;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (28+16*x)*P(n-1,x) for n >= 1, with P(0,x) = 784 + 896*x + 256*x^2.","mathematica":"P[0, x_] := 784 + 896*x + 256*x^2;\nP[n_, x_] := P[n, x] = Expand[(28 + 16*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] = 784 + 896*x + 256*x^2; for(n = 1, N, my(i = n + 1); v[i] = (28 + 16*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-6874f381e9c7e0a2","steps":["x \u21a6 x+1","basis A013609"],"edges":["e-4a3b4bf6a80699a3","e-00134e7c04415ba4"],"text":"A038334 \u2192 x \u21a6 x+1 \u2192 basis A013609"},"headline":"A038334 \u2192 x \u21a6 x+1 \u2192 basis A013609","chain":null}