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    15;\n  2:        375,         585,         135;\n  3:       4375,       11655,        6615,         945;\n  4:      43750,      167370,      164430,       54810,        5670;\n  5:     393750,     1972782,     2863350,     1615950,      377622,       30618;\n  6:    3281250,    20357190,    39843090,    33005070,    12808530,     2296350,      153090;\n  7:   25781250,   190823490,   474751530,   531062730,   299295810,    87808050,    12750210,     721710;\n  8:  193359375,  1663017345,  5048392635,  7216311465,  5463865935,  2305262025,   541643355,   66036465,   3247695;\n  9: 1396484375, 13685912955, 49205336895, 86420820915, 83483603775, 47028427875, 15760582695, 3082062555, 323686935, 14073345;\n","recurrence_sentence":"The row polynomials satisfy (n^2-n)*P(n,x) = -(10*n^2+70*n+120-(3*n^2+21*n+36)*x)*P(n-2,x) + (7*n^2+21*n-28+(3*n^2+9*n-12)*x)*P(n-1,x) for n >= 2, with P(0,x) = 1, P(1,x) = 25 + 15*x.","mathematica":"P[0, x_] := 1;\nP[1, x_] := 25 + 15*x;\nP[n_, x_] := P[n, x] 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