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14350559477760, 4783519825920, 1063004405760, 141733920768, 8589934592;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (12+8*x)*P(n-1,x) for n >= 1, with P(0,x) = 144 + 192*x + 64*x^2.","mathematica":"P[0, x_] := 144 + 192*x + 64*x^2;\nP[n_, x_] := P[n, x] = Expand[(12 + 8*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] = 144 + 192*x + 64*x^2; for(n = 1, N, my(i = n + 1); v[i] = (12 + 8*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":[],"edges":[],"text":"A038334"},"headline":"Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*8^j.","chain":null}