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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((51*n^2 - 145*n + 106 + (342*n^2 - 1038*n + 752)*x + (969*n^2 - 3043*n + 2170)*x^2 + (1476*n^2 - 4684*n + 3280)*x^3 + (1269*n^2 - 3999*n + 2750)*x^4 + (582*n^2 - 1798*n + 1216)*x^5 + (111*n^2 - 333*n + 222)*x^6)*v[i - 1] - (52*n - 108 + (470*n - 996)*x + (1784*n - 3804)*x^2 + (3698*n - 7860)*x^3 + (4532*n - 9540)*x^4 + (3290*n - 6828)*x^5 + (1312*n - 2676)*x^6 + (222*n - 444)*x^7)*deriv(v[i - 1], x) + (13 + 150*x + 730*x^2 + 1966*x^3 + 3220*x^4 + 3298*x^5 + 2070*x^6 + 730*x^7 + 111*x^8)*deriv(deriv(v[i - 1], x), x))/(4*n + 12*n*x + 12*n*x^2 + 4*n*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-d5c14b9fec875ecc","steps":["basis A013609","x \u21a6 x/(x+1)"],"edges":["e-eac85dfbd4ac8581","e-39bb4e98f2c1d26b"],"text":"A121574 \u2192 basis A013609 \u2192 x \u21a6 x/(x+1)"},"headline":"A121574 \u2192 basis A013609 \u2192 x \u21a6 x/(x+1)","chain":null}