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

0,3

Links

Table of n, a(n) for n=0..13.

Amit Harlev, Charles R. Johnson, and Derek Lim, The Doubly Stochastic Single Eigenvalue Problem: A Computational Approach, arXiv:1908.03647 [math.SP], 2019.

Example

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

Crossrefs

Cf. A110143, A327015.

Sequence in context: A148294 A148295 A288540 * A331030 A046171 A022854

Adjacent sequences: A327011 A327012 A327013 * A327015 A327016 A327017

Keyword

nonn,more

Author

Derek Lim, Aug 13 2019

Status

approved