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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)



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]


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


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

Sequence in context: A053420 A001802 A122590 * A099137 A000871 A035416

Adjacent sequences:  A057988 A057989 A057990 * A057992 A057993 A057994




Christian G. Bower, Nov 01 2000


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



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Last modified December 21 07:09 EST 2014. Contains 252297 sequences.