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98, 2728, 36896, 298480, 1607648, 6139504, 17290304, 36808723, 60110030, 75805972, 73788176, 54980926, 30802772, 12563980, 3523520, 607750, 48620;\n","recurrence_sentence":"The row polynomials satisfy (n^2-2*n)*P(n,x) = (2*n^2-5*n+2+(6*n^2-15*n+6)*x+(4*n^2-10*n+4)*x^2)*P(n-1,x) - (n^2-3*n+2+(2*n^2-6*n+4)*x+(n^2-3*n+2)*x^2)*P(n-2,x) for n >= 3, with P(0,x) = 1, P(1,x) = x + 2*x^2, P(2,x) = x + 7*x^2 + 12*x^3 + 6*x^4.","mathematica":"P[0, x_] := 1;\nP[1, x_] := x + 2*x^2;\nP[2, x_] := x + 7*x^2 + 12*x^3 + 6*x^4;\nP[n_, x_] := P[n, x] = Expand[Together[((2*n^2 - 5*n + 2 + (6*n^2 - 15*n + 6)*x + (4*n^2 - 10*n + 4)*x^2)*P[n - 1, x] - (n^2 - 3*n + 2 + (2*n^2 - 6*n + 4)*x + (n^2 - 3*n + 2)*x^2)*P[n - 2, x])/(n^2 - 2*n)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; v[2] = x + 2*x^2; v[3] = x + 7*x^2 + 12*x^3 + 6*x^4; for(n = 3, N, my(i = n + 1); v[i] = ((2*n^2 - 5*n + 2 + (6*n^2 - 15*n + 6)*x + (4*n^2 - 10*n + 4)*x^2)*v[i - 1] - 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