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A266166
Number of reduced pairs of orthogonal Latin squares.
7
1, 0, 1, 2, 18, 0, 342480, 7850589120, 7188534981260640
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
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 A353309 A113918
KEYWORD
nonn,nice,more
AUTHOR
Ian Wanless, Dec 22 2015
STATUS
approved