login
This site is supported by donations to The OEIS Foundation.

 

Logo

Invitation: celebrating 50 years of OEIS, 250000 sequences, and Sloane's 75th, there will be a conference at DIMACS, Rutgers, Oct 9-10 2014.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A057991 Number of quasigroups of order n. 9
1, 1, 1, 5, 35, 1411, 1130531, 12198455835, 2697818331680661, 15224734061438247321497, 2750892211809150446995735533513, 19464657391668924966791023043937578299025 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

REFERENCES

A. Hulpke, P. Kaski and P. R. J. Ostergard, The number of Latin squares of order 11, Preprint, 2009.

D. S. Stones, The pariy of the number of quasigroups, Discr. Math., 310 (2010), 3033-3039. [From N. J. A. Sloane, Sep 25 2010]

LINKS

Table of n, a(n) for n=0..11.

B. D. McKay, A. Meynert and W. Myrvold, Small Latin Squares, Quasigroups and Loops, J. Combin. Designs 15 (2007), no. 2, 98-119.

Index entries for sequences related to quasigroups

CROSSREFS

Cf. A002860, A057992-A057994, A057771, A057996.

Sequence in context: A053420 A001802 A122590 * A099137 A000871 A035416

Adjacent sequences:  A057988 A057989 A057990 * A057992 A057993 A057994

KEYWORD

nonn,more

AUTHOR

Christian G. Bower, Nov 01 2000

EXTENSIONS

More terms (from the McKay-Meynert-Myrvold article) from Richard Bean (rwb(AT)eskimo.com), Feb 17 2004

There are 19464657391668924966791023043937578299025 isomorphism classes of quasigroups of order 11. - Petteri Kaski (petteri.kaski(AT)cs.helsinki.fi), Sep 18 2009

STATUS

approved

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

Content is available under The OEIS End-User License Agreement .

Last modified July 26 07:06 EDT 2014. Contains 244924 sequences.