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A194425 Numbers n such that sum{<2/3+k*r>-<k*r> : 1<=k<=n}>0, where r=sqrt(2) and < > denotes fractional part. 5
5, 8, 10, 11, 17, 20, 22, 23, 29, 32, 34, 35, 37, 38, 39, 40, 41, 44, 46, 47, 49, 50, 51, 52, 53, 56, 58, 59, 61, 62, 63, 64, 65, 68, 80, 92, 104, 107, 109, 110, 116, 119, 121, 122, 128, 131, 133, 134, 136, 137, 138, 139, 140, 143, 145, 146, 148, 149, 150 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A194368.

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..2230

MATHEMATICA

r = Sqrt[2]; c = 2/3;

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, 300}];

Flatten[Position[t1, 1]]         (* A194422 *)

t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 300}];

Flatten[Position[t2, 1]]         (* A194423 *)

%/3         (* A194424 *)

t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 300}];

Flatten[Position[t3, 1]]         (* A194425 *)

CROSSREFS

Cf. A194368.

Sequence in context: A156288 A270535 A287110 * A314376 A205841 A049195

Adjacent sequences:  A194422 A194423 A194424 * A194426 A194427 A194428

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 24 2011

STATUS

approved

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Last modified April 19 01:29 EDT 2019. Contains 322237 sequences. (Running on oeis4.)