The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A190487 a(n) = [(bn+c)r]-b[nr]-[cr], where (r,b,c)=(sqrt(2),3,0) and []=floor. 25
 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Write a(n) = [(bn+c)r]-b[nr]-[cr]. If r>0 and b and c are integers satisfying b>=2 and 0<=c<=b-1, then 0<=a(n)<=b. The positions of 0 in the sequence a are of interest, as are the position sequences for 1,2,...,b. These b+1 position sequences comprise a partition of the positive integers. Examples: (golden ratio,2,1):  A190427-A190430 (sqrt(2),2,0):  A190480 (sqrt(2),2,1):  A190483-A190486 (sqrt(2),3,0):  A190487-A190490 (sqrt(2),3,1):  A190491-A190495 (sqrt(2),3,2):  A190496-A190500 LINKS G. C. Greubel, Table of n, a(n) for n = 1..1000 MATHEMATICA r = Sqrt[2]; b = 3; c = 0; f[n_] := Floor[(b*n + c)*r] - b*Floor[n*r] - Floor[c*r]; t = Table[f[n], {n, 1, 200}]  (* A190487 *) Flatten[Position[t, 0]]   (* A190488 *) Flatten[Position[t, 1]]   (* A190489 *) Flatten[Position[t, 2]]   (* A190490 *) CROSSREFS Cf. A190488, A190489, A190490. Sequence in context: A242082 A159917 A242081 * A054528 A025884 A257024 Adjacent sequences:  A190484 A190485 A190486 * A190488 A190489 A190490 KEYWORD nonn AUTHOR Clark Kimberling, May 11 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.

Last modified January 23 07:07 EST 2020. Contains 331168 sequences. (Running on oeis4.)