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A266166 Number of reduced pairs of orthogonal Latin squares. 7
1, 0, 1, 2, 18, 0, 342480, 7850589120, 7188534981260640 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

A pair of orthogonal Latin squares is reduced if their first rows are in natural order and so is the first column of the first square.

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.

Stepan Kochemazov, Oleg Zaikin, Alexander Semenov, Runtime Estimation for Enumerating all Mutually Orthogonal Diagonal Latin Squares of Order 10, 2017 40th International Convention on Information and Communication Technology, Electronics and Microelectronics (MIPRO). PDF download

Ian Wanless, Data on MOLS

CROSSREFS

Sequence A072377 is obtained from this sequence by multiplying by n!n!(n-1)!/2 (except when n=1).

Sequence in context: A208208 A290189 A279883 * A077452 A113918 A253603

Adjacent sequences:  A266163 A266164 A266165 * A266167 A266168 A266169

KEYWORD

nonn,nice,more

AUTHOR

Ian Wanless, Dec 22 2015

STATUS

approved

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Last modified October 25 01:40 EDT 2021. Contains 348233 sequences. (Running on oeis4.)