Number of set partitions of strict multiset partitions of integer partitions of n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =7a(4) =13a(5) =34a(6) =81a(7) =175a(8) =403a(9) =890a(10) =1977a(11) =4262a(12) =9356a(13) =19963a(14) =42573a(15) =90865a(16) =191206a(17) =401803a(18) =837898a(19) =1744231a(20) =3607504a(21) =7436628a(22) =15254309a(23) =31185686a(24) =63552725a(25) =128963236a(26) =260933000a(27) =526140540a(28) =1057927323a(29) =2120500885