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77987840,  33423360,   8912896,   1114112;\n  9: 19, 684, 11628, 124032, 930240, 5209344, 22573824, 77395968, 212838912, 472975360, 851355648, 1238335488, 1444724736, 1333592064, 952565760, 508035072, 190513152, 44826624, 4980736;\n","recurrence_sentence":"The row polynomials satisfy (2*n-1)*P(n,x) = (2*n+1+(8*n+4)*x+(8*n+4)*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[Together[((2*n + 1 + (8*n + 4)*x + (8*n + 4)*x^2)*P[n - 1, x])/(2*n - 1)]];\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] = ((2*n + 1 + (8*n + 4)*x + (8*n + 4)*x^2)*v[i - 1])/(2*n - 1)); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i - 1, v[i])))};\nT(9)","reading":{"first_row":0,"offset":0,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-cdb0db4ad473ee28","steps":["\u03b8+1","basis 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