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28436528736,  118781183808,  378486244080,   938454682032,  1829897338689,  2815364046096,   3406376196720,   3207091962816,   2303358827616,   1219950450432,   449369503488,   102852965376,    11019960576;\n  9: 10077696, 317447424, 4716361728, 43913560320, 287142532416, 1400220906336, 5277179841696, 15717000526416, 37499684748246, 72212212665621, 112499054244738, 141453004737744, 142483855725792, 113417893413216, 69775635377088, 32012985473280, 10314683099136, 2082772548864, 198359290368;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (6+21*x+18*x^2)*P(n-1,x) for n >= 1, with P(0,x) = 1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[(6 + 21*x + 18*x^2)*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = (6 + 21*x + 18*x^2)*v[i - 1]); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i - 1, 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