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Numbers that are not the sum of consecutive Fibonacci numbers.
5

%I #15 May 31 2022 16:28:36

%S 9,14,15,17,22,23,24,25,27,28,30,35,36,37,38,39,40,41,43,44,45,46,48,

%T 49,51,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,77,78,

%U 79,80,82,83,85,90,91,92,93,94,95,96,97,98,99,100,101

%N Numbers that are not the sum of consecutive Fibonacci numbers.

%C From _Clark Kimberling_, Dec 16 2009: (Start)

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

%C (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)

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

%Y Cf. A007298, A204922, A204924.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Jan 02 2000