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Number of standard SOLSSOMs of order n.
3

%I #10 Mar 31 2012 20:25:00

%S 2,12,0,480,374400,3528000,0

%N Number of standard SOLSSOMs of order n.

%C A SOLSSOM is a self-orthogonal Latin square with a symmetric orthogonal mate. A SOLSSOM is standard if the self-orthogonal Latin square is idempotent and if the symmetric mate is reduced.

%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. A166487, A166488, A166490

%K hard,more,nonn

%O 4,1

%A _Martin P Kidd_, Oct 21 2009

%E Definition and number of order 8 (now includes non-unipotent SOLSSOMs) corrected by _Martin P Kidd_, Nov 01 2010