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A246620
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Number of solid standard Young tableaux of shape [[5*n,n],[n]].
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3
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1, 30, 4140, 738192, 146955276, 31113230148, 6851807953900, 1550766110966400, 358116337203378732, 83984165552626389864, 19937272615715693766528, 4779986445560522545646400, 1155414579663560935856564700, 281212253617692376239817669056
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OFFSET
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0,2
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LINKS
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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
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FORMULA
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a(n) ~ sqrt(7/10*(13*sqrt(65)-83))/10 * 7^(7*n) / (Pi * n * 5^(5*n)). - Vaclav Kotesovec, Aug 31 2014
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CROSSREFS
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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
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KEYWORD
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nonn
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AUTHOR
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Vaclav Kotesovec, Aug 31 2014
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STATUS
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approved
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