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A194410 Numbers m such that Sum_{k=1..m} (<1/2 + k*r> - <k*r>) > 0, where r=Pi and < > denotes fractional part. 4
1, 2, 3, 4, 5, 9, 10, 11, 17, 95, 101, 102, 103, 107, 108, 109, 110, 111, 115, 116, 117, 123, 215, 221, 222, 223, 229, 335 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A194368.

LINKS

Table of n, a(n) for n=1..28.

MATHEMATICA

r = Pi; 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]]         (* A194408 *)

t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 1500}];

Flatten[Position[t2, 1]]         (* A194409 *)

t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 1500}];

Flatten[Position[t3, 1]]         (* A194410 *)

CROSSREFS

Cf. A194368.

Sequence in context: A118872 A046029 A303600 * A081869 A246397 A015837

Adjacent sequences:  A194407 A194408 A194409 * A194411 A194412 A194413

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 24 2011

STATUS

approved

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Last modified January 24 19:03 EST 2022. Contains 350565 sequences. (Running on oeis4.)