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0:         1;\n  1:        20,         24;\n  2:       250,        600,         360;\n  3:      2500,       9000,       10800,        4320;\n  4:     21875,     105000,      189000,      151200,        45360;\n  5:    175000,    1050000,     2520000,     3024000,      1814400,       435456;\n  6:   1312500,    9450000,    28350000,    45360000,     40824000,     19595520,      3919104;\n  7:   9375000,   78750000,   283500000,   567000000,    680400000,    489888000,    195955200,    33592320;\n  8:  64453125,  618750000,  2598750000,  6237000000,   9355500000,   8981280000,   5388768000,  1847577600,   277136640;\n  9: 429687500, 4640625000, 22275000000, 62370000000, 112266000000, 134719200000, 107775360000, 55427328000, 16628198400, 2217093120;\n","recurrence_sentence":"The row polynomials satisfy n*P(n,x) = (5*n+15+(6*n+18)*x)*P(n-1,x) for n >= 1, with P(0,x) = 1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[Together[((5*n + 15 + (6*n + 18)*x)*P[n - 1, 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