A295476 a(n) = (20*n)!*(9*n)!*(6*n)!/((18*n)!*(10*n)!*(4*n)!*(3*n)!).

1, 190, 95238, 54503020, 32989143110, 20598742103940, 13119794010495900, 8472058672655664024, 5526367916474032140870, 3632882290435237504630420, 2402807931482709593805719988, 1597125851104281978332538662760, 1065954690102347966626416591930140

Offset: 0

Author

Gheorghe Coserea, Nov 28 2017

Keywords

• nonn

Crossrefs

Cf. A295431.

Programs

Mathematica

Table[Times@@(#!&/@(n{20,9,6}))/Times@@(#!&/@(n{18,10,4,3})),{n,0,20}] (* Harvey P. Dale, May 12 2018 *)

Formula

G.f.: hypergeom([1/20, 3/20, 7/20, 9/20, 11/20, 13/20, 17/20, 19/20], [1/18, 5/18, 7/18, 1/2, 11/18, 13/18, 17/18], 10000000000/14348907*x).