A246621 - OEIS

A246621

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

%I #9 Jul 19 2017 19:46:35

%S 1,42,7986,1950512,530931786,153580152492,46190668836656,

%T 14274134610246720,4500027052542851130,1440557297650459814996,

%U 466776334221187994469180,152741149363060061495819904,50388989722150284436348268528,16737346518387797143628281698720

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

%H Vaclav Kotesovec, <a href="/A246621/b246621.txt">Table of n, a(n) for n = 0..150</a>

%H S. B. Ekhad, D. Zeilberger, <a href="https://arxiv.org/abs/1202.6229">Computational and Theoretical Challenges on Counting Solid Standard Young Tableaux</a>, arXiv:1202.6229v1 [math.CO], 2012

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Young_tableau">Young tableau</a>

%F a(n) ~ sqrt((7*sqrt(21)-23)/6)/3 * 8^(8*n) / (Pi * n * 6^(6*n)). - _Vaclav Kotesovec_, Aug 31 2014

%Y Cf. column k=6 of A176129.

%Y Cf. A214801, A215686, A246619, A246620.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Aug 31 2014