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v[1] = 1; v[2] = 1 + 3*x; for(n = 3, N, my(i = n); v[i] = (-(n + (2*n^2 + n)*x + (n^3 + 6*n^2 - 7*n)*x^2 + (4*n^3 + 3*n^2 - 17*n)*x^3 + (6*n^3 - 7*n^2 - 14*n)*x^4 + (4*n^3 - 9*n^2 - 4*n)*x^5 + (n^3 - 3*n^2)*x^6)*v[i - 2] + (n*x^2 + (n^2 + 4*n)*x^3 + (4*n^2 + 6*n)*x^4 + (6*n^2 + 4*n)*x^5 + (4*n^2 + n)*x^6 + n^2*x^7)*deriv(v[i - 2], x) + (2*n - 1 + (2*n^2 + 4*n - 2)*x + (7*n^2 - 3*n + 2)*x^2 + (9*n^2 - 13*n + 8)*x^3 + (5*n^2 - 11*n + 7)*x^4 + (n^2 - 3*n + 2)*x^5)*v[i - 1] - ((n - 1)*x^2 + (4*n - 4)*x^3 + (6*n - 6)*x^4 + (4*n - 4)*x^5 + (n - 1)*x^6)*deriv(v[i - 1], x))/(n - 1 + (3*n - 3)*x + (3*n - 3)*x^2 + (n - 1)*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-f277d949034445ba","steps":["\u03b8+1","x \u21a6 x/(x+1)"],"edges":["e-162681880755ce3c","e-7edd6dfe4e20fcfa"],"text":"A008278 \u2192 \u03b8+1 \u2192 x \u21a6 x/(x+1)"},"headline":"A008278 \u2192 \u03b8+1 \u2192 x \u21a6 x/(x+1)","chain":null}