login

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”).

A295471
a(n) = (20*n)!*n!/((10*n)!*(8*n)!*(3*n)!).
2
1, 2771340, 44524428808860, 835982760936614190900, 16702642470437308383606668060, 345116202503279265243707597937393840, 7282855378270617096441349556073829143864900, 155927544469969434644890704895476696960247603510200
OFFSET
0,2
FORMULA
G.f.: hypergeom([1/20, 3/20, 7/20, 9/20, 11/20, 13/20, 17/20, 19/20], [1/8, 1/3, 3/8, 1/2, 5/8, 2/3, 7/8], 625000000/27*x).
MATHEMATICA
Table[((20n)!n!)/((10n)!(8n)!(3n)!), {n, 0, 10}] (* Harvey P. Dale, Feb 03 2021 *)
CROSSREFS
Cf. A295431.
Sequence in context: A306634 A015336 A251835 * A316487 A250535 A203912
KEYWORD
nonn
AUTHOR
Gheorghe Coserea, Nov 28 2017
STATUS
approved