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

Terms

a(0) =0a(1) =1a(2) =1a(3) =3a(4) =4a(5) =7a(6) =11a(7) =18a(8) =30a(9) =48a(10) =78a(11) =126a(12) =204a(13) =330a(14) =533a(15) =863a(16) =1396a(17) =2258a(18) =3654a(19) =5913a(20) =9567a(21) =15480a(22) =25047a(23) =40527a(24) =65574a(25) =106101a(26) =171676a(27) =277777a(28) =449453a(29) =727230