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     1539000,         359640,          29160;\n  6:     11250000,      69796080,      136604880,      113160240,       43914960,        7873200,        524880;\n  7:    393750000,    2914395120,     7250750640,     8110776240,     4571063280,     1341068400,     194730480,      11022480;\n  8:  15750000000,  135460321920,   411214527360,   587801370240,   445056716160,   187774070400,   44119313280,    5378970240,    264539520;\n  9: 708750000000, 6945935794560, 24972912800640, 43860681809280, 42369972220800, 23868078192000, 7998881466240, 1564222181760, 164279041920, 7142567040;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = -(10*n^2-10*n-(3*n^2-3*n)*x)*P(n-2,x) + (7*n+3*n*x)*P(n-1,x) for n >= 2, with P(0,x) = 1, P(1,x) = 5 + 3*x.","mathematica":"P[0, x_] := 1;\nP[1, x_] := 5 + 3*x;\nP[n_, x_] := P[n, x] = Expand[-(10*n^2 - 10*n - (3*n^2 - 3*n)*x)*P[n - 2, x] + (7*n + 3*n*x)*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = 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