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1;\nP[2, x_] := 7 + 6*x;\nP[n_, x_] := P[n, x] = Expand[Together[(-(24*n - 44 + (216*n^2 - 1098*n + 1311)*x + (1944*n^3 - 15228*n^2 + 38934*n - 32481)*x^2 + (2916*n^2 - 16038*n + 22086)*x^3 + (972*n - 2592)*x^4)*P[n - 2, x] - ((18*n - 33)*x + (324*n^2 - 1566*n + 1800)*x^2 - (972*n^2 - 5022*n + 6318)*x^3 - (1458*n - 3807)*x^4 - 486*x^5)*D[P[n - 2, x], x] + (30*n - 79 + (216*n^2 - 1098*n + 1407)*x + (270*n - 693)*x^2 + 54*x^3)*P[n - 1, x] + ((18*n - 51)*x - (54*n - 171)*x^2 - 54*x^3)*D[P[n - 1, x], x])/(6*n - 17 + 6*x)]];\nTable[CoefficientList[P[n, x], x], {n, 1, 10}] // Flatten","pari":"P(N) = {my(v = vector(N)); v[1] = 1; v[2] = 7 + 6*x; for(n = 3, N, my(i = n); v[i] = (-(24*n - 44 + (216*n^2 - 1098*n + 1311)*x + (1944*n^3 - 15228*n^2 + 38934*n - 32481)*x^2 + (2916*n^2 - 16038*n + 22086)*x^3 + (972*n - 2592)*x^4)*v[i - 2] - ((18*n - 33)*x + (324*n^2 - 1566*n + 1800)*x^2 - (972*n^2 - 5022*n + 6318)*x^3 - (1458*n - 3807)*x^4 - 486*x^5)*deriv(v[i - 2], x) + (30*n - 79 + (216*n^2 - 1098*n + 1407)*x + (270*n - 693)*x^2 + 54*x^3)*v[i - 1] + ((18*n - 51)*x - (54*n - 171)*x^2 - 54*x^3)*deriv(v[i - 1], x))/(6*n - 17 + 6*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-7fdf5321df1ab451","steps":["D+1"],"edges":["e-8cc3ed34bc601b5e"],"text":"A290316 \u2192 D+1"},"headline":"A290316 \u2192 D+1","chain":null}