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27*x^2 + 27*x^3 + 9*x^4)*D[P[n - 1, x], x])/(1 + x)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 81 + 189*x + 109*x^2; for(n = 1, N, my(i = n + 1); v[i] = ((9 - (9*n - 10)*x - (18*n + 8)*x^2 - (9*n + 9)*x^3)*v[i - 1] + (9*x + 27*x^2 + 27*x^3 + 9*x^4)*deriv(v[i - 1], x))/(1 + x)); 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-0026e6b972fa04d4","steps":["x \u21a6 x/(x+1)"],"edges":["e-12b3d75a45e7a08a"],"text":"A075504 \u2192 x \u21a6 x/(x+1)"},"headline":"A075504 \u2192 x \u21a6 x/(x+1)","chain":null}