A072377 - OEIS

A072377

Number of pairs of orthogonal Latin squares of order n.

1, 0, 36, 3456, 3110400, 0, 3131834388480000, 32162058365970677760000, 19083454070548282639185346560000

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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.

KEYWORD

nonn,more

AUTHOR

EXTENSIONS

More terms (and corrected the degenerate first term) from Ian Wanless, Dec 22 2015

STATUS

approved