A181593 Number of isomorphism classes of self-orthogonal Latin squares of order n.

1, 0, 0, 6, 22, 0, 3972, 104120, 69112956, 881912947656

Offset: 1

Author

Martin P Kidd, Nov 01 2010

Keywords

• hard
• more
• nonn

Comments

A self-orthogonal Latin square (SOLS) is a Latin square orthogonal to its transpose. Two SOLS L and L' are isomorphic if a permutation applied to the rows, columns and symbols of L maps L to L'.

Links

• A. P. Burger, M. P. Kidd and J. H. van Vuuren, 2010. Enumerasie van self-ortogonale Latynse vierkante van orde 10, LitNet Akademies (Natuurwetenskappe), 7(3), pp. 1-22.
• A. P. Burger, M. P. Kidd and J. H. van Vuuren, Enumeration of isomorphism classes of self-orthogonal Latin squares, Ars Combinatoria, 97, pp. 143-152.

Extensions

a(10) from Martin Kidd, Oct 20 2011