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begins:\n  0: 1;\n  1: 1;\n  2: 1, 2;\n  3: 1, 2;\n  4: 1, 4,  4;\n  5: 1, 4,  4;\n  6: 1, 6, 12,  8;\n  7: 1, 6, 12,  8;\n  8: 1, 8, 24, 32, 16;\n  9: 1, 8, 24, 32, 16;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (1+2*x)*P(n-2,x) for n >= 2, with P(0,x) = 1, P(1,x) = 1.","mathematica":"P[0, x_] := 1;\nP[1, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[(1 + 2*x)*P[n - 2, x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; v[2] = 1; for(n = 2, N, my(i = n + 1); v[i] = (1 + 2*x)*v[i - 2]); 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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