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286720,   458752,   458752,   262144,    65536;\n   8:  512,  9216,  73728,  344064,  1032192,  2064384,  2752512,  2359296,  1179648,   262144;\n   9: 1024, 20480, 184320,  983040,  3440640,  8257536, 13762560, 15728640, 11796480,  5242880,  1048576;\n  10: 2048, 45056, 450560, 2703360, 10813440, 30277632, 60555264, 86507520, 86507520, 57671680, 23068672, 4194304;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (2+4*x)*P(n-1,x) for n >= 2, with P(1,x) = 4 + 16*x + 16*x^2.","mathematica":"P[1, x_] := 4 + 16*x + 16*x^2;\nP[n_, x_] := P[n, x] = Expand[(2 + 4*x)*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 1, 10}] // Flatten","pari":"P(N) = {my(v = vector(N)); v[1] = 4 + 16*x + 16*x^2; for(n = 2, N, my(i = n); v[i] = (2 + 4*x)*v[i - 1]); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i, 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