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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((9*n^2 - 39*n + 42 + (66*n^2 - 298*n + 296)*x + (209*n^2 - 915*n + 826)*x^2 + (356*n^2 - 1452*n + 1192)*x^3 + (339*n^2 - 1261*n + 950)*x^4 + (170*n^2 - 570*n + 400)*x^5 + (35*n^2 - 105*n + 70)*x^6)*v[i - 1] - (6*n - 18 + (70*n - 206)*x + (322*n - 908)*x^2 + (778*n - 2072)*x^3 + (1082*n - 2698)*x^4 + (874*n - 2030)*x^5 + (382*n - 824)*x^6 + (70*n - 140)*x^7)*deriv(v[i - 1], x) + (1 + 16*x + 102*x^2 + 340*x^3 + 660*x^4 + 776*x^5 + 546*x^6 + 212*x^7 + 35*x^8)*deriv(deriv(v[i - 1], x), x))/(2*n + 2 + (6*n + 6)*x + (6*n + 6)*x^2 + (2*n + 2)*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 A013611","x \u21a6 x/(x+1)"],"edges":["e-14cc72d2ba3c3aa2","e-f7097637fd4e541b"],"text":"A113413 \u2192 basis A013611 \u2192 x \u21a6 x/(x+1)"},"headline":"A113413 \u2192 basis A013611 \u2192 x \u21a6 x/(x+1)","chain":null}
