Numbers of the form (prime(k) + Fibonacci(k))/2.

Terms

a(0) =2a(1) =5a(2) =8a(3) =15a(4) =20a(5) =42a(6) =60a(7) =137a(8) =210a(9) =520a(10) =828a(11) =2124a(12) =3418a(13) =8895a(14) =14370a(15) =37561a(16) =60747a(17) =158959a(18) =257169a(19) =673198a(20) =1089220a(21) =2851513a(22) =4613807a(23) =12078987a(24) =19544166a(25) =51167164a(26) =82790160a(27) =216747314a(28) =350704463a(29) =918156051