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1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[Together[((4*n + 4 + (6*n^2 + 18*n + 12)*x + (9*n^2 + 18*n + 9)*x^2)*P[n - 1, x])/(2 + 3*n*x)]];\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] = ((4*n + 4 + (6*n^2 + 18*n + 12)*x + (9*n^2 + 18*n + 9)*x^2)*v[i - 1])/(2 + 3*n*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-75a6475b3e851dc5","steps":["basis A013610","\u03b8+1"],"edges":["e-1eb90284df2d6b2d","e-92887063bfd3c1cd"],"text":"A156992 \u2192 basis A013610 \u2192 \u03b8+1"},"headline":"A156992 \u2192 basis A013610 \u2192 \u03b8+1","chain":null}