login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A166488 Number of transpose-isomorphism classes of SOLSSOMs of order n. 3
31, 749, 0, 1210622, 1248307242, 640121719688, 0 (list; graph; refs; listen; history; text; internal format)
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: 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 22 20:09 EDT 2020. Contains 337291 sequences. (Running on oeis4.)