a(n) = Sum_{k=1..n} Fibonacci(prime(k)).

Terms

a(0) =1a(1) =3a(2) =8a(3) =21a(4) =110a(5) =343a(6) =1940a(7) =6121a(8) =34778a(9) =549007a(10) =1895276a(11) =26053093a(12) =191633234a(13) =625127671a(14) =3596342744a(15) =56912633917