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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((18*n^2 - 69*n + 57 + (120*n^2 - 449*n + 355)*x + (334*n^2 - 1209*n + 917)*x^2 + (496*n^2 - 1725*n + 1259)*x^3 + (414*n^2 - 1376*n + 970)*x^4 + (184*n^2 - 582*n + 398)*x^5 + (34*n^2 - 102*n + 68)*x^6)*v[i - 1] - (24*n - 60 + (200*n - 487)*x + (707*n - 1672)*x^2 + (1376*n - 3154)*x^3 + (1594*n - 3536)*x^4 + (1100*n - 2359)*x^5 + (419*n - 868)*x^6 + (68*n - 136)*x^7)*deriv(v[i - 1], x) + (8 + 80*x + 345*x^2 + 839*x^3 + 1260*x^4 + 1198*x^5 + 705*x^6 + 235*x^7 + 34*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":["x \u21a6 x+1","x \u21a6 x/(x+1)"],"edges":["e-0b1886c9648f8656","e-25dbc4bd0a9a00f7"],"text":"A113413 \u2192 x \u21a6 x+1 \u2192 x \u21a6 x/(x+1)"},"headline":"A113413 \u2192 x \u21a6 x+1 \u2192 x \u21a6 x/(x+1)","chain":null}