A181592 Number of isomorphism classes of idempotent self-orthogonal Latin squares of order n.

1, 0, 0, 1, 2, 0, 8, 8, 283, 243284

Offset: 1

Author

Martin P Kidd, Nov 01 2010

Keywords

• 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'.

References

• G. P. Graham and C. E. Roberts, 2006. Enumeration and isomorphic classification of self-orthogonal Latin squares, Journal of Combinatorial Mathematics and Combinatorial Computing, 59, pp. 101-118.

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.