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A194374 Numbers n such that sum{<1/2+k*r>-<k*r> : 1<=k<=n}=0, where r=sqrt(5) and < > denotes fractional part. 3
4, 8, 12, 16, 72, 76, 80, 84, 88, 144, 148, 152, 156, 160, 216, 220, 224, 228, 232, 288, 292, 296, 300, 304 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A194368.

LINKS

Table of n, a(n) for n=1..24.

MATHEMATICA

r = Sqrt[5]; c = 1/2;

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, 100}];

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

t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 800}];

Flatten[Position[t2, 1]]   (* A194374 *)

t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 100}];

Flatten[Position[t3, 1]]   (* A194375 *)

CROSSREFS

Cf. A194368.

Sequence in context: A334386 A071072 A175670 * A061085 A007883 A023706

Adjacent sequences:  A194371 A194372 A194373 * A194375 A194376 A194377

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 23 2011

STATUS

approved

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Last modified May 26 18:08 EDT 2020. Contains 334630 sequences. (Running on oeis4.)