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Expand[Together[((5*n + 15 + (3*n + 9)*x)*P[n - 1, x] + (3*n + 9)*x*D[P[n - 1, x], x])/(n)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((5*n + 15 + (3*n + 9)*x)*v[i - 1] + (3*n + 9)*x*deriv(v[i - 1], x))/(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":["basis A013610","basis A008277"],"edges":["e-24fdbe8219e7135e","e-5fe8596805d9056b"],"text":"A178820 \u2192 basis A013610 \u2192 basis A008277"},"headline":"A178820 \u2192 basis A013610 \u2192 basis A008277","chain":null}