A295478 a(n) = (24*n)!*(5*n)!*(2*n)!/((12*n)!*(10*n)!*(8*n)!*n!).

1, 2124694, 17116035801030, 156955248839610299260, 1520823957776376583242698310, 15195903357109656115403419318791444, 154846359560326628948765847970927516623900, 1599554665194478490546369090543508578392036048440

Offset: 0

Author

Gheorghe Coserea, Nov 28 2017

Keywords

• nonn

Links

• Harvey P. Dale, Table of n, a(n) for n = 0..142

Crossrefs

Cf. A295431.

Programs

Mathematica

Table[((24n)!(5n)!(2n)!)/((12n)!(10n)!(8n)!n!),{n,0,10}] (* Harvey P. Dale, Jun 14 2025 *)

Formula

G.f.: hypergeom([1/24, 5/24, 7/24, 11/24, 13/24, 17/24, 19/24, 23/24], [1/10, 1/4, 3/10, 1/2, 7/10, 3/4, 9/10], 34828517376/3125*x).