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A368649
a(n) = round(n*rho), where rho = (5+sqrt(5))/2.
1
4, 7, 11, 14, 18, 22, 25, 29, 33, 36, 40, 43, 47, 51, 54, 58, 62, 65, 69, 72, 76, 80, 83, 87, 90, 94, 98, 101, 105, 109, 112, 116, 119, 123, 127, 130, 134, 137, 141, 145, 148, 152, 156, 159, 163, 166, 170, 174, 177, 181, 185, 188, 192, 195, 199, 203, 206, 210
OFFSET
1,1
COMMENTS
Also, the positive integers that do not appear in A118287.
LINKS
Benoit Cloitre and Jeffrey Shallit, Some Fibonacci-Related Sequences, arXiv:2312.11706 [math.CO], 2023-2024.
FORMULA
a(n) = floor(n*(5+sqrt(5))/2 + 1/2).
MATHEMATICA
Round[Range[100](5+Sqrt[5])/2] (* Paolo Xausa, Jan 03 2024 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Jeffrey Shallit, Jan 02 2024
STATUS
approved