

A279934


Positive integers k such that {(k1)*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
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OFFSET

1,1


LINKS

Clark Kimberling, Table of n, a(n) for n = 1..5000


FORMULA

a(n) = 1 + A005652(n).


MATHEMATICA

r = GoldenRatio;
t = Table[If[FractionalPart[n r  r] < 1/2, 0, 1 ], {n, 1, 120}] (* {A078588(n1)} *)
Flatten[Position[t, 0]] (* A279933 *)
Flatten[Position[t, 1]] (* A279934 *)


CROSSREFS

Cf. A005652, A279933 (complement).
Sequence in context: A081249 A327217 A327207 * A047541 A308496 A226812
Adjacent sequences: A279931 A279932 A279933 * A279935 A279936 A279937


KEYWORD

nonn,easy


AUTHOR

Clark Kimberling, Dec 23 2016


EXTENSIONS

New name from Jianing Song, Sep 12 2019


STATUS

approved



