A266177 Number of species of bachelor Latin squares.

0, 1, 0, 1, 1, 12, 141, 281633, 18922355489

Offset: 1

Author

Ian Wanless, Dec 23 2015

Keywords

• nonn
• more

Comments

A bachelor Latin square is one with no orthogonal mate. The sequence is strictly positive for n>3.

Links

• J. Egan and I. M. Wanless, Enumeration of MOLS of small order, Mathematics of Computation 85, 2016, 799-824.
• A. B. Evans, Latin squares without orthogonal mates, Des. Codes Cryptog. 40 (2006), 121-130.
• I. M. Wanless and B. S. Webb, The existence of latin squares without orthogonal mates, Des. Codes Cryptogr., 40 (2006), 131-135.

Crossrefs

Cf. A266170.