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A076016
Number of systems with n elements having one binary operation satisfying the equation B(AB)=A (semisymmetric quasigroups).
8
1, 2, 3, 18, 120, 2880, 140256, 20782080, 9569532672, 14175610675200, 74559788174868480
OFFSET
1,2
COMMENTS
Or, Latin squares for which the set of (row,column,symbol) triples is invariant under cyclic permutation of the elements within each triple.
LINKS
Brendan D. McKay and Ian M. Wanless, Enumeration of Latin squares with conjugate symmetry, J. Combin. Des. 30 (2022), 105-130.
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Richard C. Schroeppel, Oct 29 2002
EXTENSIONS
a(10)-a(11) from Ian Wanless, Dec 08 2021
STATUS
approved