login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Number of isomorphism classes of idempotent self-orthogonal Latin squares of order n.
0

%I #9 Mar 31 2012 20:24:49

%S 1,0,0,1,2,0,8,8,283,243284

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

%C 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'.

%D 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.

%H A. P. Burger, M. P. Kidd and J. H. van Vuuren, 2010. <a href="http://www.vuuren.co.za/papers/SOLSEnum10.pdf">Enumerasie van self-ortogonale Latynse vierkante van orde 10</a>, LitNet Akademies (Natuurwetenskappe), 7(3), pp 1-22.

%K nonn

%O 1,5

%A _Martin P Kidd_, Nov 01 2010