cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A076021 Number of fully idempotent systems with n elements with one binary operation satisfying the equation B(AB)=A (idempotent semisymmetric quasigroups).

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%I A076021 #17 Dec 09 2021 00:48:38
%S A076021 1,0,1,1,0,0,4,0,20,241,0,9801188
%N A076021 Number of fully idempotent systems with n elements with one binary operation satisfying the equation B(AB)=A (idempotent semisymmetric quasigroups).
%C A076021 a(n) = 0 whenever n == 2 (mod 3).
%C A076021 a(n) is also the number of unipotent semisymmetric quasigroups of order n+1 and is also the number of semisymmetric loops of order n+1.
%H A076021 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.
%Y A076021 Cf. A076016-A076020.
%K A076021 nonn,hard,more
%O A076021 1,7
%A A076021 Richard C. Schroeppel, Oct 29 2002
%E A076021 a(10)-a(12) from _Ian Wanless_, Dec 08 2021