Sum over all partitions lambda of n into 5 distinct parts of Product_{i:lambda} prime(i).

Terms

a(0) =2310a(1) =2730a(2) =7860a(3) =15606a(4) =35594a(5) =67255a(6) =120061a(7) =201324a(8) =364479a(9) =592991a(10) =1004771a(11) =1530056a(12) =2444073a(13) =3691392a(14) =5610179a(15) =8334486a(16) =12213775a(17) =17529361a(18) =25187765a(19) =35345858a(20) =49999364a(21) =68516285a(22) =94223007a(23) =127478773a(24) =172613052a(25) =230362430a(26) =305639795a(27) =401637665a(28) =527011287