A266166 Number of reduced pairs of orthogonal Latin squares.

1, 0, 1, 2, 18, 0, 342480, 7850589120, 7188534981260640

Offset: 1

Author

Ian Wanless, Dec 22 2015

Keywords

• nonn
• nice
• more

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).