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5*n^4 + 15*n^3 - 8*n^2 + 24 + (3*n^6 - 9*n^5 - 15*n^4 + 45*n^3 - 24*n^2 + 72)*x + (3*n^6 - 9*n^5 - 15*n^4 + 45*n^3 - 24*n^2 + 72)*x^2 + (n^6 - 3*n^5 - 5*n^4 + 15*n^3 - 8*n^2 + 24)*x^3)*P[n - 3, x] - (6*n^2 - 6*n - 12 + (24*n^2 - 24*n - 48)*x + (36*n^2 - 36*n - 72)*x^2 + (24*n^2 - 24*n - 48)*x^3 + (6*n^2 - 6*n - 12)*x^4)*D[P[n - 3, x], x] - (3*n^6 - 12*n^5 - 9*n^4 + 60*n^3 - 6*n^2 - 36*n + (6*n^6 - 24*n^5 - 18*n^4 + 120*n^3 - 12*n^2 - 72*n)*x + (3*n^6 - 12*n^5 - 9*n^4 + 60*n^3 - 6*n^2 - 36*n)*x^2)*P[n - 2, x] + (12*n^2 - 24*n - 24 + (36*n^2 - 72*n - 72)*x + (36*n^2 - 72*n - 72)*x^2 + (12*n^2 - 24*n - 24)*x^3)*D[P[n - 2, x], x] + (3*n^6 - 15*n^5 + 3*n^4 + 63*n^3 - 30*n^2 - 72*n + (3*n^6 - 15*n^5 + 3*n^4 + 63*n^3 - 30*n^2 - 72*n)*x)*P[n - 1, x] - (6*n^2 - 18*n + (12*n^2 - 36*n)*x + (6*n^2 - 18*n)*x^2)*D[P[n - 1, x], x])/(n^6 - 6*n^5 + 7*n^4 + 12*n^3 - 14*n^2 - 12*n)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; v[2] = 2 + 4*x; v[3] = 3 + 16*x + 9*x^2; v[4] = 4 + 36*x + 54*x^2 + 16*x^3; for(n = 4, N, my(i = n + 1); v[i] = ((n^6 - 3*n^5 - 5*n^4 + 15*n^3 - 8*n^2 + 24 + (3*n^6 - 9*n^5 - 15*n^4 + 45*n^3 - 24*n^2 + 72)*x + (3*n^6 - 9*n^5 - 15*n^4 + 45*n^3 - 24*n^2 + 72)*x^2 + (n^6 - 3*n^5 - 5*n^4 + 15*n^3 - 8*n^2 + 24)*x^3)*v[i - 3] - (6*n^2 - 6*n - 12 + (24*n^2 - 24*n - 48)*x + (36*n^2 - 36*n - 72)*x^2 + (24*n^2 - 24*n - 48)*x^3 + (6*n^2 - 6*n - 12)*x^4)*deriv(v[i - 3], x) - (3*n^6 - 12*n^5 - 9*n^4 + 60*n^3 - 6*n^2 - 36*n + (6*n^6 - 24*n^5 - 18*n^4 + 120*n^3 - 12*n^2 - 72*n)*x + (3*n^6 - 12*n^5 - 9*n^4 + 60*n^3 - 6*n^2 - 36*n)*x^2)*v[i - 2] + (12*n^2 - 24*n - 24 + (36*n^2 - 72*n - 72)*x + (36*n^2 - 72*n - 72)*x^2 + (12*n^2 - 24*n - 24)*x^3)*deriv(v[i - 2], x) + (3*n^6 - 15*n^5 + 3*n^4 + 63*n^3 - 30*n^2 - 72*n + (3*n^6 - 15*n^5 + 3*n^4 + 63*n^3 - 30*n^2 - 72*n)*x)*v[i - 1] - (6*n^2 - 18*n + (12*n^2 - 36*n)*x + (6*n^2 - 18*n)*x^2)*deriv(v[i - 1], x))/(n^6 - 6*n^5 + 7*n^4 + 12*n^3 - 14*n^2 - 12*n)); v};\nrow(n, 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