Sum of all prime encoded perfect partitions of n.

Terms

a(0) =1a(1) =2a(2) =4a(3) =14a(4) =16a(5) =70a(6) =64a(7) =280a(8) =356a(9) =850a(10) =1024a(11) =4630a(12) =4096a(13) =10738a(14) =20820a(15) =47264a(16) =65536a(17) =176712a(18) =262144a(19) =643214a(20) =1129572a(21) =2246994a(22) =4194304a(23) =9716880a(24) =17011472a(25) =34785250a(26) =68859688a(27) =139829626a(28) =268435456a(29) =560518826