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336,             8;\n  4:     2672,       20128,        16704,          2720,            16;\n  5:    21696,      372512,       701696,        262080,         21824,            32;\n  6:   174400,     6212736,     24070080,      19093760,       3890880,        174720,           64;\n  7:  1397248,    97092224,    704362752,    1094192000,     458076160,      56230272,      1398016,         128;\n  8: 11182848,  1457095168,  18446625280,   51426276864,   40919045120,   10245627392,    801234432,    11184640,      256;\n  9: 89474048, 21316317696, 447503818752, 2085318076416, 2909531916288, 1358702779392, 219924086784, 11329210368, 89478144, 512;\n","recurrence_sentence":"The row polynomials satisfy (3*n-8+6*x)*P(n,x) = -(48*n-80+(72*n^2-348*n+476)*x+(108*n^3-756*n^2+1800*n-1616)*x^2+(324*n^2-1512*n+1692)*x^3+(216*n-360)*x^4)*P(n-2,x) - ((36*n-60)*x+(108*n^2-504*n+612)*x^2-(108*n^2-792*n+1308)*x^3-(324*n-972)*x^4-216*x^5)*d/dx P(n-2,x) + (30*n-74+(36*n^2-174*n+268)*x+(90*n-222)*x^2+36*x^3)*P(n-1,x) + ((18*n-48)*x-(18*n-84)*x^2-36*x^3)*d/dx P(n-1,x) for n >= 2, with P(0,x) = 1, P(1,x) = 4 + 2*x.","mathematica":"P[0, x_] := 1;\nP[1, x_] := 4 + 2*x;\nP[n_, x_] := P[n, x] = Expand[Together[(-(48*n - 80 + (72*n^2 - 348*n + 476)*x + (108*n^3 - 756*n^2 + 1800*n - 1616)*x^2 + (324*n^2 - 1512*n + 1692)*x^3 + (216*n - 360)*x^4)*P[n - 2, x] - ((36*n - 60)*x + (108*n^2 - 504*n + 612)*x^2 - (108*n^2 - 792*n + 1308)*x^3 - (324*n - 972)*x^4 - 216*x^5)*D[P[n - 2, x], x] + (30*n - 74 + (36*n^2 - 174*n + 268)*x + (90*n - 222)*x^2 + 36*x^3)*P[n - 1, x] + ((18*n - 48)*x - (18*n - 84)*x^2 - 36*x^3)*D[P[n - 1, x], x])/(3*n - 8 + 6*x)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; v[2] = 4 + 2*x; for(n = 2, N, my(i = n + 1); v[i] = (-(48*n - 80 + (72*n^2 - 348*n + 476)*x + (108*n^3 - 756*n^2 + 1800*n - 1616)*x^2 + (324*n^2 - 1512*n + 1692)*x^3 + (216*n - 360)*x^4)*v[i - 2] - 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