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(4*n^2 - 31*n + 88)*x + (20*n - 80)*x^2 + 16*x^3)*P[n - 1, x] + ((9*n - 36)*x - (2*n - 44)*x^2 - 8*x^3)*D[P[n - 1, x], x] + ((2*n - 8)*x^2 + 8*x^3)*D[P[n - 1, x], {x, 2}])/(n - 4 + 4*x)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; v[2] = 2 + x; for(n = 2, N, my(i = n + 1); v[i] = (-(6*n - 18 + (4*n^2 - 31*n + 81)*x + (4*n^3 - 42*n^2 + 146*n - 196)*x^2 + (24*n^2 - 156*n + 196)*x^3 + (32*n - 48)*x^4)*v[i - 2] - ((9*n - 27)*x + (14*n^2 - 100*n + 210)*x^2 - (4*n^2 - 104*n + 340)*x^3 - (24*n - 168)*x^4 - 32*x^5)*deriv(v[i - 2], x) - ((2*n - 6)*x^2 + (4*n^2 - 28*n + 56)*x^3 + (24*n - 88)*x^4 + 32*x^5)*deriv(deriv(v[i - 2], x), x) + (7*n - 27 + (4*n^2 - 31*n + 88)*x + (20*n - 80)*x^2 + 16*x^3)*v[i - 1] + ((9*n - 36)*x - (2*n - 44)*x^2 - 8*x^3)*deriv(v[i - 1], x) + ((2*n - 8)*x^2 + 8*x^3)*deriv(deriv(v[i - 1], x), x))/(n - 4 + 4*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-0b0f0dd4d2c8eb05","steps":["D+1"],"edges":["e-9ef4b91adf862752"],"text":"A166961 \u2192 D+1"},"headline":"A166961 \u2192 D+1","chain":null}