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18*x^5)*D[P[n - 2, x], x] + (15*n - 9 + (6*n^2 - 9*n + 33)*x + (15*n - 12)*x^2 + 6*x^3)*P[n - 1, x] + ((3*n - 3)*x - (3*n - 9)*x^2 - 6*x^3)*D[P[n - 1, x], x])/(n - 1 + 2*x)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; v[2] = 12 + 6*x; for(n = 2, N, my(i = n + 1); v[i] = (-(54*n + (36*n^2 - 54*n + 108)*x + (9*n^3 - 18*n^2 + 90*n - 108)*x^2 + (27*n^2 - 36*n + 36)*x^3 + 18*n*x^4)*v[i - 2] - (18*n*x + (9*n^2 - 27*n + 36)*x^2 - (9*n^2 - 36*n + 54)*x^3 - (27*n - 36)*x^4 - 18*x^5)*deriv(v[i - 2], x) + (15*n - 9 + (6*n^2 - 9*n + 33)*x + (15*n - 12)*x^2 + 6*x^3)*v[i - 1] + ((3*n - 3)*x - (3*n - 9)*x^2 - 6*x^3)*deriv(v[i - 1], x))/(n - 1 + 2*x)); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i - 1, 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