Number of 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) =12a(7) =8a(8) =28a(9) =20a(10) =32a(11) =38a(12) =112a(13) =76a(14) =116a(15) =58a(16) =352a(17) =236a(18) =1296a(19) =176a(20) =540a(21) =288a(22) =4448a(23) =374a(24) =612a(25) =1144a(26) =1812a(27) =824a(28) =16640a(29) =1316