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A166487
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Number of (row,column)-paratopism classes of SOLSSOMs of order n
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3
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OFFSET
| 4,4
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COMMENTS
| 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').
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REFERENCES
| 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)
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CROSSREFS
| Cf. A166488, A166489, A166490
Sequence in context: A113030 A030001 A018802 * A004842 A022378 A193419
Adjacent sequences: A166484 A166485 A166486 * A166488 A166489 A166490
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KEYWORD
| hard,more,nonn
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AUTHOR
| Martin Philip Kidd (14623617(AT)sun.ac.za), Oct 21 2009
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EXTENSIONS
| Class names corrected, and results for not only unipotent SOLSSOMs provided by Martin Kidd (14623617(AT)sun.ac.za), Nov 01 2010
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