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v[1] = 2; for(n = 1, N, my(i = n + 1); v[i] = (-(2*n - 6 - (n^2 - 13*n + 24)*x - (3*n^2 - 23*n + 28)*x^2 - (3*n^2 - 15*n + 12)*x^3 - (n^2 - 3*n + 2)*x^4)*v[i - 1] + (2 - (2*n - 16)*x - (8*n - 40)*x^2 - (12*n - 44)*x^3 - (8*n - 22)*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))/(2 + 2*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-cbd7c2e66114e926","steps":["x \u21a6 x/(x+1)"],"edges":["e-e6439c8916a4427f"],"text":"A086915 \u2192 x \u21a6 x/(x+1)"},"headline":"A086915 \u2192 x \u21a6 x/(x+1)","chain":null}