A246621 Number of solid standard Young tableaux of shape [[6*n,n],[n]].

1, 42, 7986, 1950512, 530931786, 153580152492, 46190668836656, 14274134610246720, 4500027052542851130, 1440557297650459814996, 466776334221187994469180, 152741149363060061495819904, 50388989722150284436348268528, 16737346518387797143628281698720

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*sqrt(21)-23)/6)/3 * 8^(8*n) / (Pi * n * 6^(6*n)). - Vaclav Kotesovec, Aug 31 2014

Crossrefs

Cf. column k=6 of A176129.

Cf. A214801, A215686, A246619, A246620.

Sequence in context: A277665 A215837 A211908 * A153471 A006699 A303055

Adjacent sequences: A246618 A246619 A246620 * A246622 A246623 A246624

Keyword

nonn

Author

Vaclav Kotesovec, Aug 31 2014

Status

approved