A035356 Number of asymmetric polygonal cacti with bridges (mixed Husimi trees).
1, 1, 0, 0, 0, 0, 1, 4, 13, 45, 143, 461, 1470, 4747, 15364, 50283, 165549, 549734, 1837539, 6184589, 20938983, 71297174, 244009225, 839101403, 2898145437, 10050549437, 34985611467, 122209803101, 428285696895, 1505491979826
Offset: 0