a(n) = gcd(Lucas(n)-1, Fibonacci(n)+1).

Terms

a(0) =2a(1) =2a(2) =3a(3) =2a(4) =2a(5) =1a(6) =14a(7) =2a(8) =5a(9) =2a(10) =18a(11) =1a(12) =26a(13) =2a(14) =47a(15) =2a(16) =34a(17) =1a(18) =246a(19) =2a(20) =89a(21) =2a(22) =322a(23) =1a(24) =466a(25) =2a(26) =843a(27) =2a(28) =610a(29) =1