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A000479
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Number of 1-factorizations of K_{n,n}.
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10
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1, 1, 1, 2, 24, 1344, 1128960, 12198297600, 2697818265354240, 15224734061278915461120, 2750892211809148994633229926400, 19464657391668924966616671344752852992000
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OFFSET
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0,4
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COMMENTS
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Also, number of Latin squares of order n with first row 1,2,...,n.
Also number of fixed diagonal Latin squares of order n. - Eric W. Weisstein, Dec 18 2005
Also maximum number of Latin squares of order n such that no two of them have all the same rows (respectively, columns). - Rick L. Shepherd, Mar 01 2008
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REFERENCES
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CRC Handbook of Combinatorial Designs, 1996, p. 660.
Denes and Keedwell, Latin Squares and Applications, Academic Press 1974.
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LINKS
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FORMULA
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CROSSREFS
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KEYWORD
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nonn,hard,nice
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AUTHOR
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EXTENSIONS
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a(11) (from the McKay-Wanless article) from Richard Bean, Feb 17 2004
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STATUS
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approved
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