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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((50*n^2 - 153*n + 121 + (360*n^2 - 1194*n + 933)*x + (1104*n^2 - 3765*n + 2850)*x^2 + (1816*n^2 - 6153*n + 4490)*x^3 + (1674*n^2 - 5514*n + 3885)*x^4 + (816*n^2 - 2577*n + 1761)*x^5 + (164*n^2 - 492*n + 328)*x^6)*v[i - 1] - (40*n - 92 + (424*n - 983)*x + (1821*n - 4191)*x^2 + (4172*n - 9430)*x^3 + (5558*n - 12250)*x^4 + (4332*n - 9267)*x^5 + (1837*n - 3803)*x^6 + (328*n - 656)*x^7)*deriv(v[i - 1], x) + (8 + 112*x + 641*x^2 + 1969*x^3 + 3590*x^4 + 4018*x^5 + 2717*x^6 + 1021*x^7 + 164*x^8)*deriv(deriv(v[i - 1], x), x))/(9*n + 27*n*x + 27*n*x^2 + 9*n*x^3)); 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-e00a1cb428776eaa","steps":["basis A013610","x \u21a6 x/(x+1)"],"edges":["e-470609786340cbfa","e-3b425c1c594022a9"],"text":"delannoy \u2192 basis A013610 \u2192 x \u21a6 x/(x+1)"},"headline":"delannoy \u2192 basis A013610 \u2192 x \u21a6 x/(x+1)","chain":null}