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A180087
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Upper bound for the determinant of a matrix whose entries are a permutation of 1, ..., n^2.
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3
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1, 11, 450, 41021, 6865625, 1867994210, 762539814814, 441077015225642, 346335386150480625, 357017114947987625629, 470379650542113331346272, 774869480550211708169959725, 1566955892015559322525350178004
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OFFSET
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1,2
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REFERENCES
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Ortwin Gasper, Hugo Pfoertner and Markus Sigg, An Upper Bound for the Determinant of a Matrix with given Entry Sum and Square Sum, JIPAM, Journal of Inequalities in Pure and Applied Mathematics, Volume 10, Issue 3, Article 63, 2008.
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LINKS
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FORMULA
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a(n) = floor(sqrt(3*((n^5+n^4+n^3+n^2)/12)^n*(n^2+1)/(n+1))).
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CROSSREFS
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a(n) is an upper bound for A085000(n).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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