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A089925
Number of commutative loops (quasigroups with an identity element) of order n.
3
0, 1, 1, 1, 2, 1, 8, 17, 2265, 30583, 358335026, 69522550106, 55355570223093935, 206176045800229002160
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OFFSET
0,5
LINKS
Table of n, a(n) for n=0..13.
Brendan D. McKay and Ian M. Wanless,
Enumeration of Latin squares with conjugate symmetry
, J. Combin. Des. 30 (2022), 105-130.
Index entries for sequences related to quasigroups
CROSSREFS
Cf.
A057771
,
A035481
,
A350009
,
A350010
,
A057992
.
Sequence in context:
A047688
A391910
A372385
*
A235047
A120945
A235048
Adjacent sequences:
A089922
A089923
A089924
*
A089926
A089927
A089928
KEYWORD
nonn
,
hard
,
more
AUTHOR
Christian G. Bower
and Juergen Buntrock (jubu(AT)jubu.com), Nov 14 2003
EXTENSIONS
a(9) from Michael Thwaites (michael.thwaites(AT)ucop.edu), Jan 23 2004
a(0) prepended by
Jianing Song
, Oct 26 2019
a(10)-a(13) from
Ian Wanless
, Dec 08 2021
STATUS
approved
