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A194376 Numbers n such that sum{<1/2+k*r>-<k*r> : 1<=k<=n}=0, where r=sqrt(6) and < > denotes fractional part. 3
2, 4, 6, 8, 20, 22, 24, 26, 28, 40, 42, 44, 46, 48, 60, 62, 64, 66, 68, 80, 82, 84, 86, 88, 198, 200, 202, 204, 206, 218, 220, 222, 224, 226, 238, 240, 242, 244, 246, 258, 260, 262, 264, 266, 278, 280, 282, 284, 286, 396, 398, 400 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A194368.

LINKS

Table of n, a(n) for n=1..52.

MATHEMATICA

r = Sqrt[6]; 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, 500}];

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

t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 400}];

Flatten[Position[t2, 1]]   (* A194376 *)

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

Flatten[Position[t3, 1]]   (* A194377 *)

CROSSREFS

Cf. A194368.

Sequence in context: A249278 A273892 A179082 * A062897 A014263 A169906

Adjacent sequences:  A194373 A194374 A194375 * A194377 A194378 A194379

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 23 2011

STATUS

approved

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Last modified June 6 08:44 EDT 2020. Contains 334859 sequences. (Running on oeis4.)