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 A072377 Number of pairs of orthogonal Latin squares of order n. 3
 1, 0, 36, 3456, 3110400, 0, 3131834388480000, 32162058365970677760000, 19083454070548282639185346560000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS This sequence counts unordered pairs. The number of ordered pairs of MOLS is exactly double this sequence. LINKS J. Egan and I. M. Wanless, Enumeration of MOLS of small order, Mathematics of Computation 85, 2016, 799-824. Ian Wanless, Data on MOLS Eric Weisstein's World of Mathematics, Latin Square CROSSREFS Equals n!n!(n-1)!/2 times A266166 (except for the degenerate case n=1). Cf. A000315, A002860, A266167, A266168, A266169, A266170, A266171, A266172, A266173. Sequence in context: A303339 A034983 A291911 * A209267 A120349 A120359 Adjacent sequences:  A072374 A072375 A072376 * A072378 A072379 A072380 KEYWORD nonn,more AUTHOR Eric W. Weisstein, Jul 19 2002 EXTENSIONS More terms (and corrected the degenerate first term) from Ian Wanless, Dec 22 2015 STATUS approved

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Last modified December 15 01:20 EST 2018. Contains 318141 sequences. (Running on oeis4.)