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A279934
Positive integers k such that {(k-1)*r} > 1/2, where r = golden ratio = (1 + sqrt(5))/2 and { } = fractional part.
3
2, 4, 7, 9, 10, 12, 15, 17, 18, 20, 22, 23, 25, 28, 30, 31, 33, 36, 38, 41, 43, 44, 46, 49, 51, 52, 54, 56, 57, 59, 62, 64, 65, 67, 70, 72, 75, 77, 78, 80, 83, 85, 86, 88, 91, 93, 96, 98, 99, 101, 104, 106, 107, 109, 111, 112, 114, 117, 119, 120
OFFSET
1,1
LINKS
FORMULA
a(n) = 1 + A005652(n).
MATHEMATICA
r = GoldenRatio;
t = Table[If[FractionalPart[n r - r] < 1/2, 0, 1 ], {n, 1, 120}] (* {A078588(n-1)} *)
Flatten[Position[t, 0]] (* A279933 *)
Flatten[Position[t, 1]] (* A279934 *)
CROSSREFS
Cf. A005652, A279933 (complement).
Sequence in context: A081249 A327217 A327207 * A047541 A308496 A226812
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Dec 23 2016
EXTENSIONS
New name from Jianing Song, Sep 12 2019
STATUS
approved