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P(0,x) = 1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[Together[((5 + 40*x + 106*x^2 + 112*x^3 + 41*x^4)*P[n - 1, x])/(1 + 2*x + x^2)]];\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] = ((5 + 40*x + 106*x^2 + 112*x^3 + 41*x^4)*v[i - 1])/(1 + 2*x + x^2)); 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-b30e7a5b4198051a","steps":["basis A013611","x \u21a6 x/(x+1)"],"edges":["e-a99971f11d0aad5a","e-252768fae4c74f90"],"text":"A272866 \u2192 basis A013611 \u2192 x \u21a6 x/(x+1)"},"headline":"A272866 \u2192 basis A013611 \u2192 x \u21a6 x/(x+1)","chain":null}
