a(n) = Sum_{j=1..floor((n+1)/2)} A023531(j)*prime(n-j+1).

Terms

a(0) =0a(1) =0a(2) =3a(3) =5a(4) =7a(5) =11a(6) =13a(7) =17a(8) =30a(9) =36a(10) =46a(11) =50a(12) =60a(13) =70a(14) =74a(15) =84a(16) =117a(17) =131a(18) =139a(19) =157a(20) =171a(21) =177a(22) =193a(23) =207a(24) =221a(25) =237a(26) =294a(27) =310a(28) =330a(29) =348