a(n) = b(k), where b(k) = Fibonacci(n-1) and k = floor( n*(1+sqrt(5))/2 ).

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =7a(5) =11a(6) =28a(7) =45a(8) =117a(9) =189a(10) =494a(11) =799a(12) =2091a(13) =3383a(14) =8856a(15) =14329a(16) =37513a(17) =60697a(18) =158906a(19) =257115a(20) =673135a(21) =1089155a(22) =2851444a(23) =4613733a(24) =12078909a(25) =19544085a(26) =51167078a(27) =82790071a(28) =216747219a(29) =350704367