a(n) = Farey(m; I) where m = Fibonacci(n + 1) and I = [1/n, 1].

Terms

a(0) =1a(1) =2a(2) =4a(3) =9a(4) =19a(5) =50a(6) =122a(7) =317a(8) =837a(9) =2213a(10) =5758a(11) =15236a(12) =40028a(13) =105079a(14) =276627a(15) =727409a(16) =1910685a(17) =5020094a(18) =13180380a(19) =34600740a(20) =90814431a(21) =238288480a(22) =625111687a(23) =1639676484a(24) =4300183922a(25) =11275936787a(26) =29564497466a(27) =77507123132a(28) =203175049457a(29) =532552499826