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7)*x - (6*n^2 - 24*n + 4)*x^2 - (6*n^2 - 13*n)*x^3 - (2*n^2 - 2*n)*x^4)*P[n - 1, x] + (4 - (4*n - 23)*x - (16*n - 49)*x^2 - (24*n - 49)*x^3 - (16*n - 23)*x^4 - (4*n - 4)*x^5)*D[P[n - 1, x], x] + (2*x + 10*x^2 + 20*x^3 + 20*x^4 + 10*x^5 + 2*x^6)*D[P[n - 1, x], {x, 2}])/(1 + x)]];\nTable[CoefficientList[P[n, x], x], {n, 1, 10}] // Flatten","pari":"P(N) = {my(v = vector(N)); v[1] = 13 + 35*x + 23*x^2; for(n = 2, N, my(i = n); v[i] = (-(4*n - 3 - (2*n^2 - 17*n + 7)*x - (6*n^2 - 24*n + 4)*x^2 - (6*n^2 - 13*n)*x^3 - (2*n^2 - 2*n)*x^4)*v[i - 1] + (4 - (4*n - 23)*x - (16*n - 49)*x^2 - (24*n - 49)*x^3 - (16*n - 23)*x^4 - (4*n - 4)*x^5)*deriv(v[i - 1], x) + (2*x + 10*x^2 + 20*x^3 + 20*x^4 + 10*x^5 + 2*x^6)*deriv(deriv(v[i - 1], x), x))/(1 + x)); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i, v[i])))};\nT(10)","reading":{"first_row":1,"offset":1,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-4f94f81718ae3273","steps":["x \u21a6 x/(x+1)"],"edges":["e-3f0d5ea5633dd049"],"text":"A088729 \u2192 x \u21a6 x/(x+1)"},"headline":"A088729 \u2192 x \u21a6 x/(x+1)","chain":null}