

A057991


Number of quasigroups of order n.


9



1, 1, 1, 5, 35, 1411, 1130531, 12198455835, 2697818331680661, 15224734061438247321497, 2750892211809150446995735533513, 19464657391668924966791023043937578299025
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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), 30333039. [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, 98119.
Index entries for sequences related to quasigroups


CROSSREFS

Cf. A002860, A057992A057994, 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 McKayMeynertMyrvold 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



