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A057771 Number of loops (quasigroups with an identity element) of order n. 13

%I #32 Feb 02 2020 21:30:04

%S 0,1,1,1,2,6,109,23746,106228849,9365022303540,20890436195945769617,

%T 1478157455158044452849321016

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

%H Brendan D. McKay, A. Meynert and W. Myrvold, <a href="http://users.cecs.anu.edu.au/~bdm/papers/ls_final.pdf">Small Latin Squares, Quasigroups and Loops</a>, J. Combin. Designs 15 (2007), no. 2, 98-119.

%H A. Hulpke, Petteri Kaski and Patric R. J. Östergård, <a href="http://dx.doi.org/10.1090/S0025-5718-2010-02420-2">The number of Latin squares of order 11</a>, Math. Comp. 80 (2011) 1197-1219.

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

%Y Cf. A000315, A057991, A057992, A057993, A057994, A057996, A057997, A057998, A089925.

%K nonn,more,nice

%O 0,5

%A _Christian G. Bower_, Nov 01 2000

%E a(8) from Juergen Buntrock (jubu(AT)jubu.com), Nov 03 2003.

%E a(9)-a(10) (from the McKay-Meynert-Myrvold article) from _Richard Bean_, Feb 17 2004

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

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

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Last modified April 24 16:56 EDT 2024. Contains 371962 sequences. (Running on oeis4.)