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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((8*n^2 - 33*n + 31 + (56*n^2 - 229*n + 201)*x + (165*n^2 - 651*n + 534)*x^2 + (260*n^2 - 972*n + 748)*x^3 + (230*n^2 - 805*n + 585)*x^4 + (108*n^2 - 351*n + 243)*x^5 + (21*n^2 - 63*n + 42)*x^6)*v[i - 1] - (8*n - 22 + (76*n - 203)*x + (300*n - 771)*x^2 + (642*n - 1578)*x^3 + (808*n - 1892)*x^4 + (600*n - 1335)*x^5 + (244*n - 515)*x^6 + (42*n - 84)*x^7)*deriv(v[i - 1], x) + (2 + 24*x + 121*x^2 + 336*x^3 + 565*x^4 + 592*x^5 + 379*x^6 + 136*x^7 + 21*x^8)*deriv(deriv(v[i - 1], x), x))/(n + 1 + (3*n + 3)*x + (3*n + 3)*x^2 + (n + 1)*x^3)); 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-ec35d1145e9a1211","steps":["basis A013609","x \u21a6 x/(x+1)"],"edges":["e-7383986e8ecff3a4","e-7d60276e009f4be7"],"text":"A113413 \u2192 basis A013609 \u2192 x \u21a6 x/(x+1)"},"headline":"A113413 \u2192 basis A013609 \u2192 x \u21a6 x/(x+1)","chain":null}