a(2)=1. a(n) = the largest integer coprime to a(n-1) and less than the n-th Fibonacci number.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =7a(5) =12a(6) =19a(7) =33a(8) =53a(9) =88a(10) =141a(11) =232a(12) =375a(13) =608a(14) =985a(15) =1596a(16) =2581a(17) =4180a(18) =6763a(19) =10945a(20) =17709a(21) =28655a(22) =46367a(23) =75024a(24) =121391a(25) =196417a(26) =317809a(27) =514228a(28) =832037a(29) =1346268