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Number of solid standard Young tableaux of shape [[5*n,n],[n]].
3

%I #9 Jul 19 2017 19:46:14

%S 1,30,4140,738192,146955276,31113230148,6851807953900,

%T 1550766110966400,358116337203378732,83984165552626389864,

%U 19937272615715693766528,4779986445560522545646400,1155414579663560935856564700,281212253617692376239817669056

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

%H Vaclav Kotesovec, <a href="/A246620/b246620.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="http://en.wikipedia.org/wiki/Young_tableau">Young tableau</a>

%F a(n) ~ sqrt(7/10*(13*sqrt(65)-83))/10 * 7^(7*n) / (Pi * n * 5^(5*n)). - _Vaclav Kotesovec_, Aug 31 2014

%Y Cf. Column k=5 of A176129.

%Y Cf. A214801, A215686, A246619.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Aug 31 2014