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v[1] = 1; v[2] = 3 + 5*x; for(n = 2, N, my(i = n + 1); v[i] = ((4*n^2 - 44*n + 40 + (20*n^2 - 214*n + 194)*x + (64*n^2 - 470*n + 406)*x^2 + (120*n^2 - 582*n + 462)*x^3 + (108*n^2 - 390*n + 282)*x^4 + (36*n^2 - 108*n + 72)*x^5)*v[i - 1] - (10*n - 52 + (92*n - 374)*x + (336*n - 1116)*x^2 + (628*n - 1768)*x^3 + (638*n - 1568)*x^4 + (336*n - 738)*x^5 + (72*n - 144)*x^6)*deriv(v[i - 1], x) + (15 + 123*x + 426*x^2 + 810*x^3 + 915*x^4 + 615*x^5 + 228*x^6 + 36*x^7)*deriv(deriv(v[i - 1], x), x))/(8*n^2 - 16*n + 8 + (16*n^2 - 32*n + 16)*x + (8*n^2 - 16*n + 8)*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-353fb5a029e4e669","steps":["basis A007318","x \u21a6 x/(x+1)"],"edges":["e-06cd9a9d948af774","e-465fc5a6d7c14b0b"],"text":"A207607 \u2192 basis A007318 \u2192 x \u21a6 x/(x+1)"},"headline":"A207607 \u2192 basis A007318 \u2192 x \u21a6 x/(x+1)","chain":null}