login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A194405 Numbers m such that Sum_{k=1..m} (<1/2 + k*e> - <k*e>) < 0 where < > denotes fractional part. 4
1, 5, 33, 37, 65, 69, 71, 72, 73, 75, 76, 77, 79, 83, 97, 101, 103, 104, 105, 107, 108, 109, 111, 115, 129, 133, 135, 136, 137, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 153, 154, 155, 157, 161, 165, 167, 168, 169, 171, 172, 173 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A194368.

LINKS

Table of n, a(n) for n=1..54.

MATHEMATICA

r = E; 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, 200}];

Flatten[Position[t1, 1]]       (* A194405 *)

t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 200}];

Flatten[Position[t2, 1]]       (* A194406 *)

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

Flatten[Position[t3, 1]]       (* A194407 *)

CROSSREFS

Cf. A194368.

Sequence in context: A174471 A275233 A043068 * A299518 A338342 A135111

Adjacent sequences:  A194402 A194403 A194404 * A194406 A194407 A194408

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 24 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 22 01:28 EST 2022. Contains 350481 sequences. (Running on oeis4.)