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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

Table of n, a(n) for n=1..9.

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.)