Number of non-isomorphic multiset partitions of weight n with no constant parts.

Terms

a(0) =1a(1) =0a(2) =1a(3) =2a(4) =7a(5) =13a(6) =47a(7) =111a(8) =367a(9) =1057a(10) =3474a(11) =11116a(12) =38106a(13) =131235a(14) =470882a(15) =1720959a(16) =6472129a(17) =24860957a(18) =97779665a(19) =392642763a(20) =1610045000a(21) =6732768139a(22) =28699327441a(23) =124600601174a(24) =550684155992