A014251 b(n) - c(n) where b(n) is the n-th Fibonacci number greater than 2 and c(n) is the n-th number not in sequence b( ).

2, 3, 4, 7, 14, 25, 45, 78, 132, 219, 362, 594, 970, 1579, 2565, 4161, 6743, 10923, 17687, 28632, 46342, 74998, 121365, 196389, 317781, 514198, 832008, 1346236, 2178274, 3524542, 5702850, 9227427