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v[1] = 1; for(n = 2, N, my(i = n); v[i] = (-(n - 5 + (11*n - 33)*x + (31*n - 75)*x^2 + (33*n - 71)*x^3 + (12*n - 24)*x^4)*v[i - 1] + (4 + 26*x + 66*x^2 + 82*x^3 + 50*x^4 + 12*x^5)*deriv(v[i - 1], x))/(n - 1 + (2*n - 2)*x + (n - 1)*x^2)); 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-4689fb1386d440ad","steps":["x \u21a6 x+1","x \u21a6 x/(x+1)"],"edges":["e-437a2dd956a9df17","e-95675fa4c8ccda2a"],"text":"A063007 \u2192 x \u21a6 x+1 \u2192 x \u21a6 x/(x+1)"},"headline":"A063007 \u2192 x \u21a6 x+1 \u2192 x \u21a6 x/(x+1)","chain":null}