

A166488


Number of transposeisomorphism classes of SOLSSOMs of order n.


3




OFFSET

4,1


COMMENTS

A SOLSSOM is a selforthogonal Latin square with a symmetric orthogonal mate. Two SOLSSOMs (L,S) and (L',S') are transposeisomorphic 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 selforthogonal 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: A196988 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



