A295459 a(n) = (15*n)!*(2*n)!/((10*n)!*(4*n)!*(3*n)!).

1, 5005, 90135045, 1868031888580, 41029265920459845, 930412757112634271880, 21530356169879586359196900, 505246886354870326510495672020, 11978661740397444504877351546799685, 286230481407830055989299003347834843760, 6881913823453630116611423770861944135246920

Offset: 0

Author

Gheorghe Coserea, Nov 28 2017

Keywords

• nonn

Links

• Harvey P. Dale, Table of n, a(n) for n = 0..227

Crossrefs

Cf. A295431.

Programs

Mathematica

Table[((15n)!(2n)!)/((10n)!(4n)!(3n)!),{n,0,20}] (* Harvey P. Dale, Apr 02 2024 *)

Formula

G.f.: hypergeom([1/15, 2/15, 4/15, 7/15, 8/15, 11/15, 13/15, 14/15], [1/10, 1/4, 3/10, 1/2, 7/10, 3/4, 9/10], 1660753125/65536*x).