A295475 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A295475

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

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

(list; graph; refs; listen; history; text; internal format)

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