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

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

Offset

4,4

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)

Links

Table of n, a(n) for n=4..10.

Crossrefs

Cf. A166488, A166489, A166490

Sequence in context: A281901 A357176 A018802 * A004842 A022378 A306950

Adjacent sequences: A166484 A166485 A166486 * A166488 A166489 A166490

Keyword

hard,more,nonn

Author

Martin P Kidd, Oct 21 2009

Extensions

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

Status

approved