A266177 Number of species of bachelor Latin squares.

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

Offset

1,6

Comments

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

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.

A. B. Evans, Latin squares without orthogonal mates</aW, 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.

Sequence in context: A281247 A124206 A061636 * A135326 A056340 A056330

Adjacent sequences: A266174 A266175 A266176 * A266178 A266179 A266180

Keyword

nonn,more

Author

Ian Wanless, Dec 23 2015

Status

approved