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500500,  320320,  120120,  22880,  1430;\n  10: 48620, 393822, 1400256, 2858856, 3675672, 3063060, 1633632, 525096, 87516, 4862;\n","recurrence_sentence":"The row polynomials satisfy (n^2-n+n*x)*P(n,x) = (4*n^2-6*n+(4*n^2-2*n-6)*x+(4*n-6)*x^2)*P(n-1,x) for n >= 2, with P(1,x) = 1.","mathematica":"P[1, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[Together[((4*n^2 - 6*n + (4*n^2 - 2*n - 6)*x + (4*n - 6)*x^2)*P[n - 1, x])/(n^2 - n + n*x)]];\nTable[CoefficientList[P[n, x], x], {n, 1, 10}] // Flatten","pari":"P(N) = {my(v = vector(N)); v[1] = 1; for(n = 2, N, my(i = n); v[i] = ((4*n^2 - 6*n + (4*n^2 - 2*n - 6)*x + (4*n - 6)*x^2)*v[i - 1])/(n^2 - n + n*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-a98fae1bf9eeb913","steps":["D+1"],"edges":["e-17a2449071a8dc49"],"text":"A085880 \u2192 D+1"},"headline":"A085880 \u2192 D+1","chain":null}
