A295475 a(n) = (20*n)!*(3*n)!/((10*n)!*(9*n)!*(4*n)!).

1, 461890, 935387159850, 2182519096151533552, 5398397695681095146608490, 13787702861800799166026014363140, 35936545440404705429404600374145350960, 94988519542968717273112119046397042704228800, 253668511451664737174164792111754605640400674756970

Offset

0,2

Links

Table of n, a(n) for n=0..8.

Formula

G.f.: hypergeom([1/20, 3/20, 7/20, 9/20, 11/20, 13/20, 17/20, 19/20], [1/9, 2/9, 4/9, 1/2, 5/9, 7/9, 8/9], 40960000000000/14348907*x).

Mathematica

Table[((20n)!(3n)!)/((10n)!(9n)!(4n)!), {n, 0, 20}] (* Harvey P. Dale, Mar 26 2022 *)

Crossrefs

Cf. A295431.

Sequence in context: A376166 A114671 A270856 * A205765 A216068 A237964

Adjacent sequences: A295472 A295473 A295474 * A295476 A295477 A295478

Keyword

nonn

Author

Gheorghe Coserea, Nov 28 2017

Status

approved