Number of asymmetric polygonal cacti with bridges (mixed Husimi trees).

Terms

a(0) =1a(1) =1a(2) =0a(3) =0a(4) =0a(5) =0a(6) =1a(7) =4a(8) =13a(9) =45a(10) =143a(11) =461a(12) =1470a(13) =4747a(14) =15364a(15) =50283a(16) =165549a(17) =549734a(18) =1837539a(19) =6184589a(20) =20938983a(21) =71297174a(22) =244009225a(23) =839101403a(24) =2898145437a(25) =10050549437a(26) =34985611467a(27) =122209803101a(28) =428285696895