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

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A194425 Numbers m such that Sum_{k=1..m} (<2/3 + k*r> - ) > 0, where r=sqrt(2) and < > denotes fractional part. 5
 5, 8, 10, 11, 17, 20, 22, 23, 29, 32, 34, 35, 37, 38, 39, 40, 41, 44, 46, 47, 49, 50, 51, 52, 53, 56, 58, 59, 61, 62, 63, 64, 65, 68, 80, 92, 104, 107, 109, 110, 116, 119, 121, 122, 128, 131, 133, 134, 136, 137, 138, 139, 140, 143, 145, 146, 148, 149, 150 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A194368. LINKS G. C. Greubel, Table of n, a(n) for n = 1..2230 MATHEMATICA r = Sqrt[2]; c = 2/3; 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, 300}]; Flatten[Position[t1, 1]] (* A194422 *) t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 300}]; Flatten[Position[t2, 1]] (* A194423 *) %/3 (* A194424 *) t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 300}]; Flatten[Position[t3, 1]] (* A194425 *) CROSSREFS Cf. A194368. Sequence in context: A156288 A270535 A287110 * A314376 A205841 A344443 Adjacent sequences: A194422 A194423 A194424 * A194426 A194427 A194428 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 8 16:32 EST 2023. Contains 367680 sequences. (Running on oeis4.)