a(n) = Fibonacci(n-1) + prime(n).

Terms

a(0) =2a(1) =4a(2) =6a(3) =9a(4) =14a(5) =18a(6) =25a(7) =32a(8) =44a(9) =63a(10) =86a(11) =126a(12) =185a(13) =276a(14) =424a(15) =663a(16) =1046a(17) =1658a(18) =2651a(19) =4252a(20) =6838a(21) =11025a(22) =17794a(23) =28746a(24) =46465a(25) =75126a(26) =121496a(27) =196525a(28) =317920a(29) =514342