a(n) = round(sqrt(Fibonacci(n))).

Terms

a(0) =0a(1) =1a(2) =1a(3) =1a(4) =2a(5) =2a(6) =3a(7) =4a(8) =5a(9) =6a(10) =7a(11) =9a(12) =12a(13) =15a(14) =19a(15) =25a(16) =31a(17) =40a(18) =51a(19) =65a(20) =82a(21) =105a(22) =133a(23) =169a(24) =215a(25) =274a(26) =348a(27) =443a(28) =564a(29) =717