a(n) = bin_prime_sum(fibonacci(A001651[n])), where fibonacci(A001651[n]) is A014437[n].

Terms

a(0) =2a(1) =3a(2) =5a(3) =7a(4) =11a(5) =19a(6) =23a(7) =35a(8) =53a(9) =73a(10) =57a(11) =-39a(12) =87a(13) =-13a(14) =231a(15) =-29a(16) =177a(17) =103a(18) =299a(19) =-11a(20) =-139a(21) =85a(22) =-81a(23) =157a(24) =-169a(25) =201a(26) =277a(27) =371a(28) =183a(29) =639