a(n) is the integer k that minimizes |k/Fibonacci(n) - 3/5|.

Terms

a(0) =0a(1) =1a(2) =1a(3) =1a(4) =2a(5) =3a(6) =5a(7) =8a(8) =13a(9) =20a(10) =33a(11) =53a(12) =86a(13) =140a(14) =226a(15) =366a(16) =592a(17) =958a(18) =1550a(19) =2509a(20) =4059a(21) =6568a(22) =10627a(23) =17194a(24) =27821a(25) =45015a(26) =72836a(27) =117851a(28) =190687a(29) =308537