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A194468 Numbers m such that Sum_{k=1..m} (<c + k*r> - <k*r>) > 0, where r=sqrt(3) and c=sqrt(1/3), and < > denotes fractional part. 1
7, 11, 14, 26, 52, 97, 104, 108, 111, 123, 149, 153, 156, 160, 163, 164, 165, 167, 175, 179, 182, 194, 201, 205, 208, 220, 317, 362, 369, 373, 376, 388, 414, 582, 679, 724, 731, 735, 738, 750, 776 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A194368.

LINKS

Table of n, a(n) for n=1..41.

MATHEMATICA

Remove["Global`*"];

r = Sqrt[3]; c = 1/r;

x[n_] := Sum[FractionalPart[k*r], {k, 1, n}]

y[n_] := Sum[FractionalPart[c + k*r], {k, 1, n}]

t1 = Table[If[y[n] < x[n], 1, 0], {n, 1, 200}];

Flatten[Position[t1, 1]]    (* A184467 *)

t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 900}];

Flatten[Position[t3, 1]]    (* A184468 *)

CROSSREFS

Cf. A194368.

Sequence in context: A168135 A225858 A120687 * A053217 A144931 A166257

Adjacent sequences:  A194465 A194466 A194467 * A194469 A194470 A194471

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 24 2011

STATUS

approved

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Last modified September 25 07:27 EDT 2021. Contains 347654 sequences. (Running on oeis4.)