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   36;\n  3:      138,        522,         486;\n  4:      978,       5922,       11826,        7776;\n  5:     7668,      64872,      204201,      283176,       145800;\n  6:    66636,     730152,     3180951,     6883056,      7392060,      3149280;\n  7:   638928,    8639928,    48447396,   144131076,    239816700,    211474152,     77157360;\n  8:  6718032,  108427896,   747063972,  2847496356,   6482282580,   8809988328,   6615692496,   2116316160;\n  9: 76978080, 1447052688, 11861969508, 55369266552, 160925827815, 298125838872, 343671557292, 225304530048, 64283103360;\n","recurrence_sentence":"The row polynomials satisfy (n-1)*P(n,x) = -(n^3+(6*n^3-6*n^2)*x+(9*n^3-18*n^2+9*n)*x^2)*P(n-2,x) + (2*n^2-1+(6*n^2-6*n)*x)*P(n-1,x) for n >= 2, with P(0,x) = 0, P(1,x) = 3.","mathematica":"P[0, x_] := 0;\nP[1, x_] := 3;\nP[n_, x_] := P[n, x] = Expand[Together[(-(n^3 + (6*n^3 - 6*n^2)*x + (9*n^3 - 18*n^2 + 9*n)*x^2)*P[n - 2, x] + (2*n^2 - 1 + (6*n^2 - 6*n)*x)*P[n - 1, x])/(n - 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