A246620 Number of solid standard Young tableaux of shape [[5*n,n],[n]].

1, 30, 4140, 738192, 146955276, 31113230148, 6851807953900, 1550766110966400, 358116337203378732, 83984165552626389864, 19937272615715693766528, 4779986445560522545646400, 1155414579663560935856564700, 281212253617692376239817669056

Offset

0,2

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..150

S. B. Ekhad, D. Zeilberger, Computational and Theoretical Challenges on Counting Solid Standard Young Tableaux, arXiv:1202.6229v1 [math.CO], 2012

Wikipedia, Young tableau

Formula

a(n) ~ sqrt(7/10*(13*sqrt(65)-83))/10 * 7^(7*n) / (Pi * n * 5^(5*n)). - Vaclav Kotesovec, Aug 31 2014

Crossrefs

Cf. Column k=5 of A176129.

Cf. A214801, A215686, A246619.

Sequence in context: A127849 A166845 A166834 * A216728 A196466 A159401

Adjacent sequences: A246617 A246618 A246619 * A246621 A246622 A246623

Keyword

nonn

Author

Vaclav Kotesovec, Aug 31 2014

Status

approved