A057991 - OEIS

A057991

Number of quasigroups of order n.

1, 1, 1, 5, 35, 1411, 1130531, 12198455835, 2697818331680661, 15224734061438247321497, 2750892211809150446995735533513, 19464657391668924966791023043937578299025

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OFFSET

0,4

LINKS

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

A. Hulpke, Petteri Kaski and Patric R. J. Östergård, The number of Latin squares of order 11, Math. Comp. 80 (2011) 1197-1219.

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

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

Index entries for sequences related to quasigroups

CROSSREFS

Cf. A002860, A057992, A057993, A057994, A057771, A057996.

Sequence in context: A321605 A001802 A122590 * A000871 A263882 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, Feb 17 2004

a(11) from Petteri Kaski (petteri.kaski(AT)cs.helsinki.fi), Sep 18 2009

STATUS

approved