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v[1] = 1; for(n = 2, N, my(i = n); v[i] = ((1 - (3*n - 12)*x + (n^2 - 16*n + 37)*x^2 + (3*n^2 - 28*n + 48)*x^3 + (3*n^2 - 20*n + 28)*x^4 + (n^2 - 5*n + 6)*x^5)*v[i - 1] + (3*x - (2*n - 20)*x^2 - (8*n - 48)*x^3 - (12*n - 54)*x^4 - (8*n - 29)*x^5 - (2*n - 6)*x^6)*deriv(v[i - 1], x) + (x^2 + 5*x^3 + 10*x^4 + 10*x^5 + 5*x^6 + x^7)*deriv(deriv(v[i - 1], x), x))/(1 + 2*x + 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-67b93749ab954f15","steps":["x \u21a6 x/(x+1)"],"edges":["e-3e8bb6cec130e977"],"text":"A156289 \u2192 x \u21a6 x/(x+1)"},"headline":"A156289 \u2192 x \u21a6 x/(x+1)","chain":null}