Number of complete tree-partitions of a multiset whose multiplicities are the prime indices of n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =3a(6) =5a(7) =4a(8) =12a(9) =9a(10) =12a(11) =17a(12) =34a(13) =29a(14) =44a(15) =26a(16) =92a(17) =90a(18) =277a(19) =68a(20) =171a(21) =93a(22) =806a(23) =144a(24) =197a(25) =309a(26) =581a(27) =269a(28) =2500a(29) =428