A067309 Number of symmetric unlabeled digraphs (unlabeled digraphs with nontrivial automorphism group).
0, 0, 2, 9, 82, 1607, 95647, 18545153
Offset: 0
Examples
For n=4 nodes from the 218 (=A000273(4)) unlabeled nonisomorphic digraphs 136 (=A051504(4)) are asymmetric, so 218 - 136 = 82 are somehow symmetric.
Extensions
a(7) added using nauty by Andrew Howroyd, Dec 06 2020