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A194384 Numbers m such that Sum_{k=1..m} (<1/2 + k*r> - <k*r>) > 0, where r=sqrt(8) and < > denotes fractional part. 5
5, 11, 17, 23, 29, 139, 145, 151, 157, 163, 169, 173, 174, 175, 179, 180, 181, 185, 186, 187, 191, 192, 193, 197, 198, 199, 203, 209, 215, 221, 227, 233, 343, 349, 355, 361, 367, 373, 377, 378, 379, 383, 384, 385, 389, 390, 391, 395, 396, 397, 401 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A194368.

LINKS

Table of n, a(n) for n=1..51.

MATHEMATICA

r = Sqrt[8]; 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]]   (* A194381 *)

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

Flatten[Position[t2, 1]]   (* A194382 *)

%/2  (* A194383 *)

t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 600}];

Flatten[Position[t3, 1]]   (* A194384 *)

CROSSREFS

Cf. A010466, A194368, A194381, A194382, A194383.

Sequence in context: A063909 A181575 A335070 * A287305 A189938 A184525

Adjacent sequences:  A194381 A194382 A194383 * A194385 A194386 A194387

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 23 2011

STATUS

approved

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Last modified May 21 08:44 EDT 2022. Contains 353908 sequences. (Running on oeis4.)