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v[1] = 2; v[2] = 2 + 5*x; for(n = 2, N, my(i = n + 1); v[i] = ((1 - (n - 7)*x - (3*n - 14)*x^2 - (3*n - 11)*x^3 - (n - 3)*x^4)*v[i - 2] + (x + 4*x^2 + 6*x^3 + 4*x^4 + x^5)*deriv(v[i - 2], x) - ((n - 3)*x + (3*n - 7)*x^2 + (3*n - 5)*x^3 + (n - 1)*x^4)*v[i - 1] + (x + 4*x^2 + 6*x^3 + 4*x^4 + x^5)*deriv(v[i - 1], 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 - 1, v[i])))};\nT(9)","reading":{"first_row":0,"offset":0,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-3cb22164e2f83fe1","steps":["\u03b8+2 (shift +1)","x \u21a6 x/(x+1)"],"edges":["e-4ce9900b2631a004","e-7d8b0f251948bdb6"],"text":"A008277 \u2192 \u03b8+2 (shift +1) \u2192 x \u21a6 x/(x+1)"},"headline":"A008277 \u2192 \u03b8+2 (shift +1) \u2192 x \u21a6 x/(x+1)","chain":null}