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

Terms

a(0) =2a(1) =2a(2) =1a(3) =4a(4) =6a(5) =1a(6) =2a(7) =2a(8) =7a(9) =4a(10) =10a(11) =1a(12) =18a(13) =2a(14) =13a(15) =4a(16) =94a(17) =1a(18) =34a(19) =2a(20) =123a(21) =4a(22) =178a(23) =1a(24) =322a(25) =2a(26) =233a(27) =4a(28) =1686a(29) =1