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

0,2

Links

Table of n, a(n) for n=0..12.

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).

Mathematica

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

Crossrefs

Cf. A295431.

Sequence in context: A207198 A217343 A221112 * A238813 A103494 A104642

Adjacent sequences: A295473 A295474 A295475 * A295477 A295478 A295479

Keyword

nonn

Author

Gheorghe Coserea, Nov 28 2017

Status

approved