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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((2 - (4*n - 12)*x + (n^2 - 15*n + 24)*x^2 + (3*n^2 - 21*n + 22)*x^3 + (3*n^2 - 13*n + 10)*x^4 + (n^2 - 3*n + 2)*x^5)*v[i - 1] + (4*x - (2*n - 20)*x^2 - (8*n - 40)*x^3 - (12*n - 40)*x^4 - (8*n - 20)*x^5 - (2*n - 4)*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))/(2 + 4*x + 2*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-15df20466f2d1f05","steps":["x \u21a6 x/(x+1)"],"edges":["e-dc425022ed7c9fa6"],"text":"A080248 \u2192 x \u21a6 x/(x+1)"},"headline":"A080248 \u2192 x \u21a6 x/(x+1)","chain":null}