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

31, 749, 0, 1210622, 1248307242, 640121719688, 0

Offset

4,1

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)

Links

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

Crossrefs

Cf. A166487, A166489, A144690

Sequence in context: A358179 A061252 A096049 * A051587 A069380 A006111

Adjacent sequences: A166485 A166486 A166487 * A166489 A166490 A166491

Keyword

hard,more,nonn

Author

Martin P Kidd, Oct 21 2009

Extensions

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

Status

approved