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

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =4a(5) =6a(6) =11a(7) =8a(8) =27a(9) =20a(10) =30a(11) =38a(12) =96a(13) =74a(14) =114a(15) =58a(16) =308a(17) =234a(18) =1052a(19) =176a(20) =509a(21) =278a(22) =3648a(23) =374a(24) =600a(25) =1076a(26) =1760a(27) =814a(28) =13003a(29) =1306