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

Terms

a(0) =2a(1) =4a(2) =1a(3) =2a(4) =4a(5) =1a(6) =6a(7) =4a(8) =11a(9) =2a(10) =8a(11) =1a(12) =58a(13) =4a(14) =21a(15) =2a(16) =76a(17) =1a(18) =110a(19) =4a(20) =199a(21) =2a(22) =144a(23) =1a(24) =1042a(25) =4a(26) =377a(27) =2a(28) =1364a(29) =1