A050939 Numbers that are not the sum of consecutive Fibonacci numbers.

9, 14, 15, 17, 22, 23, 24, 25, 27, 28, 30, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 48, 49, 51, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 75, 77, 78, 79, 80, 82, 83, 85, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101

Offset: 1

Author

N. J. A. Sloane, Jan 02 2000

Keywords

• nonn

Comments

From Clark Kimberling, Dec 16 2009: (Start)

(1) This is the ordered sequence of positive numbers that are not the difference between two Fibonacci numbers; see A007298 for a proof.

(2) Let s=(1,2,1,4,2,1,7,4,2,1,12,7,4,2,1,...) be the lengths of runs of consecutive numbers missing from A050939. Is s=A104582? (End)

Crossrefs

Cf. A007298, A204922, A204924.

Programs

Mathematica

(See A204924, which generates an ordered list of differences of Fibonacci numbers, as in A204922.)