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A166487 Number of (row,column)-paratopism classes of SOLSSOMs of order n 3
1, 1, 0, 2, 32, 26, 0 (list; graph; refs; listen; history; text; internal format)
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: A247873 A281901 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

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Last modified October 19 22:55 EDT 2019. Contains 328244 sequences. (Running on oeis4.)