A295436 a(n) = (12*n)!*(5*n)!/((10*n)!*(4*n)!*(3*n)!).

1, 110, 31878, 10550540, 3693446214, 1333894333860, 491399166995100, 183538361769733080, 69248533171932254790, 26330347618877971057844, 10073025233727857639656628, 3872722823191369534267881000, 1495040784249187268901385878300, 579143282269456580741926257778920

Offset: 0

Author

Gheorghe Coserea, Nov 23 2017

Keywords

• nonn

Crossrefs

Cf. A295431.

Programs

Mathematica

Array[(12#)!(5#)!/((10#)!(4#)!(3#)!) &, 14, 0] (* Michael De Vlieger, Nov 23 2017 *)
CoefficientList[ Series[ HypergeometricPFQ[{1/12, 1/6, 5/12, 7/12, 5/6, 11/12}, {1/10, 3/10, 1/2, 7/10, 9/10}, 1259712/3125 x], {x, 0, 13}], x] (* Robert G. Wilson v, Nov 23 2017 *)

Formula

G.f.: hypergeom([1/12, 1/6, 5/12, 7/12, 5/6, 11/12], [1/10, 3/10, 1/2, 7/10, 9/10], 1259712/3125*x).

a(n) ~ 2^(6*n-1) * 3^(9*n) / (5^(5*n) * sqrt(Pi*n)). - Vaclav Kotesovec, Jul 11 2025