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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((12*n^2 - 38*n + 28 + (84*n^2 - 274*n + 200)*x + (246*n^2 - 808*n + 580)*x^2 + (384*n^2 - 1250*n + 880)*x^3 + (336*n^2 - 1072*n + 740)*x^4 + (156*n^2 - 484*n + 328)*x^5 + (30*n^2 - 90*n + 60)*x^6)*v[i - 1] - (12*n - 27 + (114*n - 255)*x + (448*n - 990)*x^2 + (952*n - 2070)*x^3 + (1188*n - 2535)*x^4 + (874*n - 1827)*x^5 + (352*n - 720)*x^6 + (60*n - 120)*x^7)*deriv(v[i - 1], x) + (3 + 36*x + 181*x^2 + 500*x^3 + 835*x^4 + 868*x^5 + 551*x^6 + 196*x^7 + 30*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-f25cd955a876cde3","steps":["basis A013609","x \u21a6 x/(x+1)"],"edges":["e-144ed6eafdc58374","e-d8194760e7fb5807"],"text":"A081577 \u2192 basis A013609 \u2192 x \u21a6 x/(x+1)"},"headline":"A081577 \u2192 basis A013609 \u2192 x \u21a6 x/(x+1)","chain":null}