A166488 Number of transpose-isomorphism classes of SOLSSOMs of order n.

31, 749, 0, 1210622, 1248307242, 640121719688, 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 transpose-isomorphic if a permutation applied to the rows, columns and symbols of L and S 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. A166487, A166489, A144690

Extensions

Class name and definition corrected by Martin P Kidd, Nov 01 2010