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polynomials satisfy (15*n+31+15*x)*P(n,x) = (240*n+736+(225*n+930)*x+225*x^2)*P(n-1,x) for n >= 1, with P(0,x) = 736 + 930*x + 225*x^2.","mathematica":"P[0, x_] := 736 + 930*x + 225*x^2;\nP[n_, x_] := P[n, x] = Expand[Together[((240*n + 736 + (225*n + 930)*x + 225*x^2)*P[n - 1, x])/(15*n + 31 + 15*x)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 736 + 930*x + 225*x^2; for(n = 1, N, my(i = n + 1); v[i] = ((240*n + 736 + (225*n + 930)*x + 225*x^2)*v[i - 1])/(15*n + 31 + 15*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-2bc1923905556bf6","steps":["basis A013610","D+1"],"edges":["e-fd6222a072627022","e-23e08a85ae66907c"],"text":"A038319 \u2192 basis A013610 \u2192 D+1"},"headline":"A038319 \u2192 basis A013610 \u2192 D+1","chain":null}
