a(n) is the integer k that minimizes |k/Fibonacci(n) - 2/3|.

Terms

a(0) =0a(1) =1a(2) =1a(3) =1a(4) =2a(5) =3a(6) =5a(7) =9a(8) =14a(9) =23a(10) =37a(11) =59a(12) =96a(13) =155a(14) =251a(15) =407a(16) =658a(17) =1065a(18) =1723a(19) =2787a(20) =4510a(21) =7297a(22) =11807a(23) =19105a(24) =30912a(25) =50017a(26) =80929a(27) =130945a(28) =211874a(29) =342819