A129732 Number of main classes of Graeco-Latin squares of order n. That is, species of pairs of orthogonal Latin squares.

1, 1, 1, 0, 7, 2165, 91846374

Offset: 3

Author

Brendan McKay, May 13 2007

Keywords

• hard
• more
• nice
• nonn

Examples

			The unique example for n=3 has two Latin squares [[0, 2, 1], [2, 1, 0], [1, 0, 2]] and [[0, 2, 1], [1, 0, 2], [2, 1, 0]].
		

Links

• J. Egan and I. M. Wanless, Enumeration of MOLS of small order, Mathematics of Computation 85, 2016, 799-824.
• B. D. McKay, Latin squares.
• I. Wanless, Data on mutually orthogonal Latin squares (MOLS).

Crossrefs

Cf. A003090, A266166, A266167, A266168, A266169, A266170, A266171, A266172, A266173.

Extensions

a(9) by Egan and Wanless added by Janne I. Kokkala, Sep 08 2015