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115,    2530,      8456,       6064,        1072,          32;\n  4:  241,    9768,     62748,      95552,       38256,        4224,          64;\n  5:  495,   34838,    392028,    1124568,      936784,      232224,       16704,         128;\n  6: 1005,  117868,   2176048,   10702032,    16616480,     8432960,     1384704,       66304,        256;\n  7: 2027,  384746,  11115968,   87504192,   230622304,   216725056,    71996928,     8198144,     263936,       512;\n  8: 4073, 1225168,  53494260,  640867200,  2671689504,  4242611712,  2597564544,   594647040,   48456960,   1052672,    1024;\n  9: 8167, 3834334, 246417524, 4325883816, 27063061344, 67605110976, 69822139008, 29353143552, 4811920128, 286684672, 4203520, 2048;\n","recurrence_sentence":"The row polynomials satisfy (2*n+1+4*x)*P(n,x) = -(4*n+6+(8*n^2+10*n+5)*x+(8*n^3+16*n^2+22*n-4)*x^2+(24*n^2+28*n+12)*x^3+(16*n+16)*x^4)*P(n-2,x) - ((2*n+3)*x+(4*n^2+4*n+1)*x^2-(8*n^2+4*n+4)*x^3-(24*n+12)*x^4-16*x^5)*d/dx P(n-2,x) + (6*n+5+(8*n^2+10*n+15)*x+(20*n+10)*x^2+8*x^3)*P(n-1,x) + ((2*n+1)*x-(4*n-2)*x^2-8*x^3)*d/dx P(n-1,x) for n >= 2, with P(0,x) = 9 + 16*x + 4*x^2, P(1,x) = 23 + 110*x + 68*x^2 + 8*x^3.","mathematica":"P[0, x_] := 9 + 16*x + 4*x^2;\nP[1, x_] := 23 + 110*x + 68*x^2 + 8*x^3;\nP[n_, x_] := P[n, x] = Expand[Together[(-(4*n + 6 + (8*n^2 + 10*n + 5)*x + (8*n^3 + 16*n^2 + 22*n - 4)*x^2 + (24*n^2 + 28*n + 12)*x^3 + (16*n + 16)*x^4)*P[n - 2, x] - ((2*n + 3)*x + (4*n^2 + 4*n + 1)*x^2 - (8*n^2 + 4*n + 4)*x^3 - (24*n + 12)*x^4 - 16*x^5)*D[P[n - 2, x], x] + (6*n + 5 + (8*n^2 + 10*n + 15)*x + (20*n + 10)*x^2 + 8*x^3)*P[n - 1, x] + ((2*n + 1)*x - (4*n - 2)*x^2 - 8*x^3)*D[P[n - 1, x], x])/(2*n + 1 + 4*x)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 9 + 16*x + 4*x^2; v[2] = 23 + 110*x + 68*x^2 + 8*x^3; for(n = 2, N, my(i = n + 1); v[i] = (-(4*n + 6 + (8*n^2 + 10*n + 5)*x + (8*n^3 + 16*n^2 + 22*n - 4)*x^2 + (24*n^2 + 28*n + 12)*x^3 + (16*n + 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