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70*x^3 - x^4)*D[P[n - 2, x], x] + (12*n^2 + 150*n + 252 - (30*n + 60)*x - (n + 2)*x^2)*P[n - 1, x] + ((36*n + 72)*x + (n + 2)*x^2)*D[P[n - 1, x], x])/(n^2 + 5*n + 6)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 378 + 44*x + x^2; v[2] = 5649 + 1239*x + 66*x^2 + x^3; for(n = 2, N, my(i = n + 1); v[i] = (-(36*n^2 + 720*n + 3276 - (180*n + 1260)*x - (6*n + 108)*x^2 - 2*x^3)*v[i - 2] - ((216*n + 1512)*x + (6*n - 1182)*x^2 - 70*x^3 - x^4)*deriv(v[i - 2], x) + (12*n^2 + 150*n + 252 - (30*n + 60)*x - (n + 2)*x^2)*v[i - 1] + ((36*n + 72)*x + (n + 2)*x^2)*deriv(v[i - 1], x))/(n^2 + 5*n + 6)); 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-44b1dbf5d009bf35","steps":["D+1"],"edges":["e-0f6ee031a0dd94ce"],"text":"A132166 \u2192 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