a(n) = Sum_{j=1..n} A003718(j-1)*prime(j).

Terms

a(0) =2a(1) =5a(2) =10a(3) =17a(4) =39a(5) =52a(6) =69a(7) =126a(8) =195a(9) =224a(10) =255a(11) =403a(12) =649a(13) =821a(14) =868a(15) =921a(16) =1216a(17) =1826a(18) =2496a(19) =2851a(20) =2924a(21) =3003a(22) =3501a(23) =4836a(24) =6776a(25) =8291a(26) =8909a(27) =9016a(28) =9125a(29) =9916