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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((25*n^2 - 78*n + 59 + (180*n^2 - 594*n + 447)*x + (546*n^2 - 1833*n + 1350)*x^2 + (884*n^2 - 2943*n + 2110)*x^3 + (801*n^2 - 2601*n + 1815)*x^4 + (384*n^2 - 1203*n + 819)*x^5 + (76*n^2 - 228*n + 152)*x^6)*v[i - 1] - (20*n - 46 + (212*n - 487)*x + (903*n - 2049)*x^2 + (2044*n - 4550)*x^3 + (2686*n - 5840)*x^4 + (2064*n - 4371)*x^5 + (863*n - 1777)*x^6 + (152*n - 304)*x^7)*deriv(v[i - 1], x) + (4 + 56*x + 319*x^2 + 971*x^3 + 1750*x^4 + 1934*x^5 + 1291*x^6 + 479*x^7 + 76*x^8)*deriv(deriv(v[i - 1], x), x))/(3*n + 9*n*x + 9*n*x^2 + 3*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-f25cd955a876cde3","steps":["basis A013610","x \u21a6 x/(x+1)"],"edges":["e-ce7b55dc0173f12e","e-18ad591f53505dcc"],"text":"A081577 \u2192 basis A013610 \u2192 x \u21a6 x/(x+1)"},"headline":"A081577 \u2192 basis A013610 \u2192 x \u21a6 x/(x+1)","chain":null}