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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = (-(n^2 - 2*n + (2*n^2 - 5)*x + (9*n - 11)*x^2 - (2*n^2 - 10*n + 8)*x^3 - (n^2 - 3*n + 2)*x^4)*v[i - 1] + (n + (2*n + 6)*x - (2*n - 22)*x^2 - (8*n - 30)*x^3 - (7*n - 18)*x^4 - (2*n - 4)*x^5)*deriv(v[i - 1], x) + (x + 5*x^2 + 10*x^3 + 10*x^4 + 5*x^5 + x^6)*deriv(deriv(v[i - 1], x), x))/(1 + x)); 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-735e311cbe9a718e","steps":["x \u21a6 x/(x+1)"],"edges":["e-59441bd2a069f0b8"],"text":"A397048 \u2192 x \u21a6 x/(x+1)"},"headline":"A397048 \u2192 x \u21a6 x/(x+1)","chain":null}