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v[1] = 1; v[2] = 4*x; for(n = 3, N, my(i = n); v[i] = (-((n - 7)*x + (5*n - 29)*x^2 + (9*n - 45)*x^3 + (7*n - 31)*x^4 + (2*n - 8)*x^5)*v[i - 2] + (x + 6*x^2 + 14*x^3 + 16*x^4 + 9*x^5 + 2*x^6)*deriv(v[i - 2], x) - (1 + (n - 2)*x + (5*n - 16)*x^2 + (9*n - 26)*x^3 + (7*n - 17)*x^4 + (2*n - 4)*x^5)*v[i - 1] + (x + 6*x^2 + 14*x^3 + 16*x^4 + 9*x^5 + 2*x^6)*deriv(v[i - 1], x))/(1 + 3*x + 3*x^2 + x^3)); 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-2cabfd060b04f15d","steps":["(\u03b8+1)\u00b2","x \u21a6 x/(x+1)"],"edges":["e-60eb617d7ec68f2c","e-d69e5caff8458d42"],"text":"A131689 \u2192 (\u03b8+1)\u00b2 \u2192 x \u21a6 x/(x+1)"},"headline":"A131689 \u2192 (\u03b8+1)\u00b2 \u2192 x \u21a6 x/(x+1)","chain":null}