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A089925 Number of commutative loops (quasigroups with an identity element) of order n. 3

%I #15 Dec 08 2021 19:45:27

%S 0,1,1,1,2,1,8,17,2265,30583,358335026,69522550106,55355570223093935,

%T 206176045800229002160

%N Number of commutative loops (quasigroups with an identity element) of order n.

%H Brendan D. McKay and Ian M. Wanless, <a href="https://doi.org/10.1002/jcd.21814">Enumeration of Latin squares with conjugate symmetry</a>, J. Combin. Des. 30 (2022), 105-130.

%H <a href="/index/Qua#quasigroups">Index entries for sequences related to quasigroups</a>

%Y Cf. A057771, A035481, A350009, A350010, A057992.

%K nonn,hard,more

%O 0,5

%A _Christian G. Bower_ and Juergen Buntrock (jubu(AT)jubu.com), Nov 14 2003.

%E a(9) from Michael Thwaites (michael.thwaites(AT)ucop.edu), Jan 23 2004

%E a(0) prepended by _Jianing Song_, Oct 26 2019

%E a(10)-a(13) from _Ian Wanless_, Dec 08 2021

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Last modified April 24 12:30 EDT 2024. Contains 371937 sequences. (Running on oeis4.)