a(n) = 2*Farey(m; I) - 1 where m = Fibonacci (n + 1) and I = [1/n, 1].

Terms

a(0) =1a(1) =3a(2) =7a(3) =17a(4) =37a(5) =99a(6) =243a(7) =633a(8) =1673a(9) =4425a(10) =11515a(11) =30471a(12) =80055a(13) =210157a(14) =553253a(15) =1454817a(16) =3821369a(17) =10040187a(18) =26360759a(19) =69201479a(20) =181628861a(21) =476576959a(22) =1250223373a(23) =3279352967a(24) =8600367843a(25) =22551873573a(26) =59128994931a(27) =155014246263a(28) =406350098913