A327151 Number of orbits of the direct square of the alternating group A_n^2 where A_n acts by conjugation, such that both permutations in a representative pair are of the same conjugacy class in A_n.
1, 1, 1, 3, 8, 23, 82, 452, 2369, 18356, 143308, 1396222, 13000455, 152886068
Offset: 0
Examples
For n = 3, representatives of the a(3) = 3 orbits are: (e,e), ((123),(123)), ((132),(132)), where e is the identity.