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A194464 Numbers n such that sum{<c+k*r>-<k*r> : 1<=k<=n}>0, where r=(1+sqrt(5))/2 and c=(1+sqrt(5))/4, and < > denotes fractional part. 1
5, 10, 13, 14, 15, 18, 19, 20, 26, 31, 34, 35, 36, 39, 40, 41, 47, 52, 68, 73, 89, 94, 99, 102, 103, 104, 107, 108, 109, 115, 120, 123, 124, 125, 128, 129, 130, 136, 141, 157, 162, 178, 183, 188, 191, 192, 193, 196, 197, 198, 204, 209, 212, 213, 214, 217 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A194368.

LINKS

Table of n, a(n) for n=1..56.

MATHEMATICA

r = GoldenRatio; c = FractionalPart[r/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, 200}];

Flatten[Position[t1, 1]]    (* A184463 *)

t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 200}];

Flatten[Position[t3, 1]]    (* A184464 *)

CROSSREFS

Cf. A194368.

Sequence in context: A296445 A313376 A129846 * A192336 A001974 A242307

Adjacent sequences:  A194461 A194462 A194463 * A194465 A194466 A194467

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 24 2011

STATUS

approved

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Last modified December 5 10:45 EST 2019. Contains 329751 sequences. (Running on oeis4.)