login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A272635
Numbers that are not a sum or a difference of two Fibonacci numbers.
1
17, 25, 27, 28, 30, 38, 40, 41, 43, 44, 45, 46, 48, 49, 51, 59, 61, 62, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 75, 77, 78, 79, 80, 82, 83, 85, 93, 95, 96, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122
OFFSET
1,1
COMMENTS
This sequence is the complement of the union of A007298 and A084176.
LINKS
MAPLE
N:= 30: # to get all terms < A000045(N+1) - A000045(N-4)
fibs:= [seq(combinat:-fibonacci(i), i=1..N)]:
R:= {seq(seq(fibs[i]-fibs[j], j=1..i-1), i=1..N), seq(seq(fibs[i]+fibs[j], j=1..i), i=1..N)}:
A:= {$1..fibs[-1]+fibs[-2]-fibs[-5]-1} minus R:
sort(convert(A, list)); # Robert Israel, May 04 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Altug Alkan, May 04 2016
STATUS
approved