a(n) is the integer k that minimizes |e - k/Fibonacci(n)|.

Terms

a(0) =0a(1) =3a(2) =3a(3) =5a(4) =8a(5) =14a(6) =22a(7) =35a(8) =57a(9) =92a(10) =150a(11) =242a(12) =391a(13) =633a(14) =1025a(15) =1658a(16) =2683a(17) =4341a(18) =7024a(19) =11365a(20) =18389a(21) =29754a(22) =48143a(23) =77898a(24) =126041a(25) =203939a(26) =329980a(27) =533919a(28) =863900a(29) =1397819