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A246619
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Number of solid standard Young tableaux of shape [[4*n,n],[n]].
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4
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1, 20, 1876, 229680, 31497284, 4600393936, 699440711760, 109341854545792, 17445620031680100, 2827280025640259280, 463882742476664594512, 76875122571167921990080, 12845419277094419018993808, 2161338658294952555703260480, 365816910931667192749720139072
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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..200
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(4*sqrt(3)-6) * 3^(6*n+1) / (Pi * n * 2^(2*n+3)). - Vaclav Kotesovec, Aug 31 2014
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CROSSREFS
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Cf. column k=4 of A176129.
Cf. A214801, A215686.
Sequence in context: A014606 A330196 A172556 * A222973 A267575 A072818
Adjacent sequences: A246616 A246617 A246618 * A246620 A246621 A246622
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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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