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v[1] = 1; for(n = 2, N, my(i = n); v[i] = ((180*n - 324 + (426*n^2 - 729*n - 153)*x + (302*n^3 - 230*n^2 - 835*n + 243)*x^2 + (72*n^4 + 166*n^3 - 672*n^2 + 52*n + 118)*x^3 + (5*n^5 + 61*n^4 - 109*n^3 - 85*n^2 + 24*n + 32)*x^4 + (4*n^5 - 12*n^3 - 8*n^2)*x^5)*v[i - 1] - (54 + (216*n + 54)*x + (222*n^2 + 462*n - 126)*x^2 + (72*n^3 + 554*n^2 + 178*n - 178)*x^3 + (6*n^4 + 180*n^3 + 386*n^2 - 84*n - 68)*x^4 + (14*n^4 + 124*n^3 + 62*n^2 - 16*n - 16)*x^5 + (8*n^4 + 16*n^3 + 8*n^2)*x^6)*deriv(v[i - 1], x))/(36*n - 36 + (60*n^2 - 87*n + 27)*x + (46*n^3 - 116*n^2 + 95*n - 25)*x^2 + (12*n^4 - 30*n^3 + 12*n^2 + 8*n - 2)*x^3 + (n^5 - 3*n^4 + 3*n^3 - n^2)*x^4)); 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-4b168caf0bc63f8b","steps":["x \u21a6 x+1","(\u03b8+1)\u00b2"],"edges":["e-502ba5da9494e9e3","e-559af0bef77ea39a"],"text":"A089627 \u2192 x \u21a6 x+1 \u2192 (\u03b8+1)\u00b2"},"headline":"A089627 \u2192 x \u21a6 x+1 \u2192 (\u03b8+1)\u00b2","chain":null}