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A194400 Numbers m such that Sum_{k=1..m} (<1/2 + k*r> - <k*r>) > 0, where r=sqrt(15) and < > denotes fractional part. 4
7, 15, 23, 31, 39, 47, 55, 377, 385, 393, 401, 409, 417, 425, 433, 439, 440, 441, 447, 448, 449, 455, 456, 457, 463, 464, 465, 471, 472, 473, 479, 480, 481, 487, 488, 489, 495, 503, 511, 519, 527, 535, 543, 551 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A194368.

LINKS

Table of n, a(n) for n=1..44.

MATHEMATICA

r = Sqrt[15]; 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]]       (* A194398 *)

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

Flatten[Position[t2, 1]]       (* A194399 *)

t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 800}];

Flatten[Position[t3, 1]]       (* A194400 *)

CROSSREFS

Cf. A010472, A194368, A194398, A194399.

Sequence in context: A133655 A004771 A029724 * A177768 A243582 A336819

Adjacent sequences:  A194397 A194398 A194399 * A194401 A194402 A194403

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 24 2011

STATUS

approved

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Last modified September 18 19:30 EDT 2021. Contains 347534 sequences. (Running on oeis4.)