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v[1] = 1; for(n = 2, N, my(i = n); v[i] = ((40*n^3 - 118*n^2 + 108*n - 24 + (36*n^3 - 116*n^2 + 110*n - 24)*x)*v[i - 1] - (44*n^2 - 98*n + 30 + (96*n^2 - 216*n + 66)*x + (52*n^2 - 118*n + 36)*x^2)*deriv(v[i - 1], x) + (15*n - 6 + (50*n - 20)*x + (55*n - 22)*x^2 + (20*n - 8)*x^3)*deriv(deriv(v[i - 1], x), x))/(4*n^3 - 2*n^2 - 2*n)); 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-79ebafb266da3b41","steps":["\u2299 C(n,k+1) (shift -1)","x \u21a6 x+1"],"edges":["e-1491609a6fc5f8c9","e-9b9e29c7199cdb19"],"text":"A172431 \u2192 \u2299 C(n,k+1) (shift -1) \u2192 x \u21a6 x+1"},"headline":"A172431 \u2192 \u2299 C(n,k+1) (shift -1) \u2192 x \u21a6 x+1","chain":null}