A166487 Number of (row,column)-paratopism classes of SOLSSOMs of order n.

1, 1, 0, 2, 32, 26, 0

Offset: 4

Author

Martin P Kidd, Oct 21 2009

Keywords

• hard
• more
• nonn

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').

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)

Crossrefs

Cf. A166488, A166489, A166490

Extensions

Class names corrected, and results for not only unipotent SOLSSOMs provided by Martin P Kidd, Nov 01 2010