Sum over all partitions lambda of n into 4 distinct parts of Product_{i:lambda} prime(i).

Terms

a(0) =210a(1) =330a(2) =852a(3) =1826a(4) =4207a(5) =6595a(6) =13548a(7) =21479a(8) =38905a(9) =59000a(10) =95953a(11) =142843a(12) =231431a(13) =324152a(14) =487361a(15) =683227a(16) =1003028a(17) =1347337a(18) =1907811a(19) =2541970a(20) =3526314a(21) =4597020a(22) =6194948a(23) =7969172a(24) =10618000a(25) =13401580a(26) =17424498a(27) =21875750a(28) =28102737a(29) =34685941