Number of non-isomorphic connected multiset partitions of weight n into singletons or pairs.

Terms

a(0) =1a(1) =1a(2) =3a(3) =3a(4) =8a(5) =10a(6) =26a(7) =38a(8) =93a(9) =161a(10) =381a(11) =732a(12) =1721a(13) =3566a(14) =8369a(15) =18316a(16) =43280a(17) =98401a(18) =234959a(19) =549628a(20) =1327726a(21) =3175670a(22) =7763500a(23) =18905703a(24) =46762513a(25) =115613599a(26) =289185492a(27) =724438500a(28) =1831398264a(29) =4641907993