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A012249
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Volume of a certain rational polytope whose points with given denominator count certain sets of Standard Tableaux.
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8
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1, 2, 5, 24, 154, 1280, 13005, 156800, 2189726, 34793472, 620169186, 12259602432, 266267950740, 6304157663232, 161624247752253, 4461403146190848, 131936409635518774, 4161949856324648960, 139508340802911502422, 4952126960969786064896
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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MAPLE
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add( (-1)^(j+1)*(n/2-j+1)^(n-1)*binomial(n+2, j), j=0..ceil(n/2)) ;
%*2^(n-2) ;
end proc:
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MATHEMATICA
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PROG
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(Magma)
A012249:= func< n | 2^(n-2)*(&+[(-1)^(j+1)*Binomial(n+2, j)*(n/2-j+1)^(n-1) : j in [0..1+Floor(n/2)]] ) >;
(SageMath)
def A012249(n): return 2^(n-2)*sum( (-1)^(j+1)*binomial(n+2, j)*(n/2-j+1)^(n-1) for j in range(n//2+2))
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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