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%I #10 Mar 31 2012 20:25:00
%S 1,1,0,2,32,26,0
%N Number of (row,column)-paratopism classes of SOLSSOMs of order n
%C A SOLSSOM is a self-orthogonal Latin square with a symmetric orthogonal mate. Two SOLSSOMs (L,S) and (L',S') are (row,column)-paratopic if a permutation applied to the rows and columns of L and S and two permutations applied to the symbols of L and S, respectively, maps (L,S) to (L',S') or (L'',S') (where L'' is the transpose of L').
%D A.P. Burger, M.P. Kidd and J.H. van Vuuren, Enumeration of self-orthogonal Latin squares with symmetric orthogonal mates, Submitted to LitNet Akademies (Natuurwetenskappe)
%Y Cf. A166488, A166489, A166490
%K hard,more,nonn
%O 4,4
%A _Martin P Kidd_, Oct 21 2009
%E Class names corrected, and results for not only unipotent SOLSSOMs provided by _Martin P Kidd_, Nov 01 2010
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