A191852 Ordered nonnegative differences 4*f-g, where f and g are positive Fibonacci numbers (A000045).
0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 15, 17, 18, 19, 24, 27, 29, 30, 31, 39, 44, 47, 49, 50, 51, 63, 71, 76, 79, 81, 82, 83, 102, 115, 123, 128, 131, 133, 134, 135, 165, 186, 199, 207, 212, 215, 217, 218, 219, 267, 301, 322, 335, 343, 348, 351, 353, 354
Offset: 1
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Mathematica
(See A191850.) Select[Union[4*First[#]-Last[#]&/@Tuples[Fibonacci[Range[20]],2]],#>=0&] (* Harvey P. Dale, Oct 15 2014 *)