a(n) is the greatest integer k such that k/Fibonacci(n) < sqrt(2).

Terms

a(0) =0a(1) =1a(2) =1a(3) =2a(4) =4a(5) =7a(6) =11a(7) =18a(8) =29a(9) =48a(10) =77a(11) =125a(12) =203a(13) =329a(14) =533a(15) =862a(16) =1395a(17) =2258a(18) =3654a(19) =5912a(20) =9567a(21) =15479a(22) =25047a(23) =40527a(24) =65574a(25) =106101a(26) =171675a(27) =277776a(28) =449452a(29) =727229