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%I #18 Mar 25 2018 10:33:19
%S 1,0,10,112,7848,525888
%N The number of k-cycles in the symmetric group on k symbols whose commutator with the standard k-cycle (1,2,...,k) is a k-cycle, where k = 2n-1.
%C With the exception of the second term, it is not hard to prove that the sequence increases monotonically. Empirically, the growth is super-exponential.
%C For even k, there are no such k-cycles in S_k whose commutator with the standard k-cycle is a k-cycle.
%K nonn,more
%O 1,3
%A _Tarik Aougab_, Jan 11 2018