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Expand[Together[((2*n^2 + 4*n - 6 + (n^2 + 2*n - 3)*x)*P[n - 1, x] - ((2*n + 6)*x + (2*n + 6)*x^2)*D[P[n - 1, x], x])/(n^2 - n)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; v[2] = 4; for(n = 2, N, my(i = n + 1); v[i] = ((2*n^2 + 4*n - 6 + (n^2 + 2*n - 3)*x)*v[i - 1] - ((2*n + 6)*x + (2*n + 6)*x^2)*deriv(v[i - 1], x))/(n^2 - n)); 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-a820c1859f68e71c","steps":["Veronese 2","basis A007318"],"edges":["e-9985dc3bbd6a1733","e-05c29514f8b31a01"],"text":"A178820 \u2192 Veronese 2 \u2192 basis A007318"},"headline":"A178820 \u2192 Veronese 2 \u2192 basis A007318","chain":null}