A166489 Number of standard SOLSSOMs of order n.

2, 12, 0, 480, 374400, 3528000, 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. A SOLSSOM is standard if the self-orthogonal Latin square is idempotent and if the symmetric mate is reduced.

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. A166487, A166488, A166490

Extensions

Definition and number of order 8 (now includes non-unipotent SOLSSOMs) corrected by Martin P Kidd, Nov 01 2010