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A246619 Number of solid standard Young tableaux of shape [[4*n,n],[n]]. 4

%I

%S 1,20,1876,229680,31497284,4600393936,699440711760,109341854545792,

%T 17445620031680100,2827280025640259280,463882742476664594512,

%U 76875122571167921990080,12845419277094419018993808,2161338658294952555703260480,365816910931667192749720139072

%N Number of solid standard Young tableaux of shape [[4*n,n],[n]].

%H Vaclav Kotesovec, <a href="/A246619/b246619.txt">Table of n, a(n) for n = 0..200</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(4*sqrt(3)-6) * 3^(6*n+1) / (Pi * n * 2^(2*n+3)). - _Vaclav Kotesovec_, Aug 31 2014

%Y Cf. column k=4 of A176129.

%Y Cf. A214801, A215686.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Aug 31 2014

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Last modified August 12 10:31 EDT 2020. Contains 336438 sequences. (Running on oeis4.)