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v[1] = 1; for(n = 2, N, my(i = n); v[i] = ((18*n^2 - 93*n + 116 + (120*n^2 - 624*n + 777)*x + (334*n^2 - 1737*n + 2153)*x^2 + (496*n^2 - 2567*n + 3161)*x^3 + (414*n^2 - 2124*n + 2595)*x^4 + (184*n^2 - 933*n + 1130)*x^5 + (34*n^2 - 170*n + 204)*x^6)*v[i - 1] - (24*n - 76 + (200*n - 631)*x + (707*n - 2218)*x^2 + (1376*n - 4286)*x^3 + (1594*n - 4924)*x^4 + (1100*n - 3367)*x^5 + (419*n - 1270)*x^6 + (68*n - 204)*x^7)*deriv(v[i - 1], x) + (8 + 80*x + 345*x^2 + 839*x^3 + 1260*x^4 + 1198*x^5 + 705*x^6 + 235*x^7 + 34*x^8)*deriv(deriv(v[i - 1], x), x))/(n - 1 + (3*n - 3)*x + (3*n - 3)*x^2 + (n - 1)*x^3)); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i, v[i])))};\nT(10)","reading":{"first_row":1,"offset":1,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-811c78acf96cbc19","steps":["basis A007318","x \u21a6 x/(x+1)"],"edges":["e-0985ee5bc77b64e0","e-a9864b0302f223d8"],"text":"A008288 \u2192 basis A007318 \u2192 x \u21a6 x/(x+1)"},"headline":"A008288 \u2192 basis A007318 \u2192 x \u21a6 x/(x+1)","chain":null}