A327014 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.
1, 1, 2, 5, 13, 35, 135, 613, 3624, 25230, 203640, 1842350, 18535683, 204650313
Offset: 0
Examples
For n = 2, representatives of the a(2) = 2 orbits are: (e,e), ((12), (12)), where e is identity.
Links
- Amit Harlev, Charles R. Johnson, and Derek Lim, The Doubly Stochastic Single Eigenvalue Problem: A Computational Approach, arXiv:1908.03647 [math.SP], 2019.