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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((54*n^2 - 173*n + 121 + (360*n^2 - 1152*n + 801)*x + (998*n^2 - 3173*n + 2190)*x^2 + (1472*n^2 - 4631*n + 3170)*x^3 + (1218*n^2 - 3780*n + 2565)*x^4 + (536*n^2 - 1637*n + 1101)*x^5 + (98*n^2 - 294*n + 196)*x^6)*v[i - 1] - (72*n - 156 + (600*n - 1287)*x + (2115*n - 4487)*x^2 + (4096*n - 8590)*x^3 + (4714*n - 9770)*x^4 + (3228*n - 6611)*x^5 + (1219*n - 2467)*x^6 + (196*n - 392)*x^7)*deriv(v[i - 1], x) + (24 + 240*x + 1033*x^2 + 2503*x^3 + 3740*x^4 + 3534*x^5 + 2065*x^6 + 683*x^7 + 98*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-6ad01dc6e705cdb6","steps":["basis A007318","x \u21a6 x/(x+1)"],"edges":["e-1ae1e4b2be227437","e-136c1b1a591e65d7"],"text":"A081580 \u2192 basis A007318 \u2192 x \u21a6 x/(x+1)"},"headline":"A081580 \u2192 basis A007318 \u2192 x \u21a6 x/(x+1)","chain":null}