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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((12*n^2 - 37*n + 29 + (84*n^2 - 275*n + 211)*x + (249*n^2 - 833*n + 620)*x^2 + (396*n^2 - 1318*n + 950)*x^3 + (354*n^2 - 1151*n + 805)*x^4 + (168*n^2 - 527*n + 359)*x^5 + (33*n^2 - 99*n + 66)*x^6)*v[i - 1] - (12*n - 27 + (114*n - 258)*x + (452*n - 1017)*x^2 + (974*n - 2160)*x^3 + (1236*n - 2685)*x^4 + (926*n - 1962)*x^5 + (380*n - 783)*x^6 + (66*n - 132)*x^7)*deriv(v[i - 1], x) + (3 + 36*x + 182*x^2 + 508*x^3 + 860*x^4 + 908*x^5 + 586*x^6 + 212*x^7 + 33*x^8)*deriv(deriv(v[i - 1], x), x))/(n + 3*n*x + 3*n*x^2 + 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-1bffaa6198344f93","steps":["basis A013609","x \u21a6 x/(x+1)"],"edges":["e-c90acfb06fc8929f","e-91df93c7fbe09f51"],"text":"A059473 \u2192 basis A013609 \u2192 x \u21a6 x/(x+1)"},"headline":"A059473 \u2192 basis A013609 \u2192 x \u21a6 x/(x+1)","chain":null}