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A215687
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Number of solid standard Young tableaux of shape [[2*n,2],[2]].
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2
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0, 16, 174, 690, 1876, 4140, 7986, 14014, 22920, 35496, 52630, 75306, 104604, 141700, 187866, 244470, 312976, 394944, 492030, 605986, 738660, 891996, 1068034, 1268910, 1496856, 1754200, 2043366, 2366874, 2727340, 3127476, 3570090, 4058086, 4594464, 5182320
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OFFSET
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0,2
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..1000
S. B. Ekhad, D. Zeilberger, Computational and Theoretical Challenges on Counting Solid Standard Young Tableaux, arXiv:1202.6229v1 [math.CO], 2012
Wikipedia, Young tableau
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
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FORMULA
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G.f.: 2*(3*x^3-10*x^2+47*x+8)*x/(1-x)^5.
a(n) = n*(2*n-1)*(2*n^2+7*n+7).
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MAPLE
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a:= n-> (-7+(7+(12+4*n)*n)*n)*n;
seq(a(n), n=0..40);
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MATHEMATICA
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LinearRecurrence[{5, -10, 10, -5, 1}, {0, 16, 174, 690, 1876}, 40] (* Harvey P. Dale, Jul 08 2017 *)
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CROSSREFS
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Row n=2 of A176129.
Sequence in context: A021174 A021374 A253343 * A187720 A017931 A021129
Adjacent sequences: A215684 A215685 A215686 * A215688 A215689 A215690
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KEYWORD
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nonn,easy
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AUTHOR
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Alois P. Heinz, Aug 20 2012
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STATUS
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approved
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