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Number of orbits of Sym(n)^2 where Sym(n) acts by conjugation such that both permutations in a representative pair have the same cycle type.
3

%I #12 Aug 20 2019 00:50:59

%S 1,1,2,5,13,35,135,613,3624,25230,203640,1842350,18535683,204650313

%N Number of orbits of Sym(n)^2 where Sym(n) acts by conjugation such that both permutations in a representative pair have the same cycle type.

%H Amit Harlev, Charles R. Johnson, and Derek Lim, <a href="https://arxiv.org/abs/1908.03647">The Doubly Stochastic Single Eigenvalue Problem: A Computational Approach</a>, arXiv:1908.03647 [math.SP], 2019.

%e For n = 2, representatives of the a(2) = 2 orbits are: (e,e), ((12), (12)), where e is identity.

%Y Cf. A110143, A327015.

%K nonn,more

%O 0,3

%A _Derek Lim_, Aug 13 2019