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!)
A339052 Odd bisection of the infinite Fibonacci word A096270. 7
1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
0
LINKS
FORMULA
a(n) = [(2n+2)r] - [(2n+1)r] - 1, where [ ] = floor and r = golden ratio (A001622).
a(n) = A005206(2*n+1) - A005206(2*n) = A001961(n+1) - A001965(n). - Peter Bala, Aug 09 2022
EXAMPLE
A096270 = (0,1,0,1,1,0,1,0,1,1,0,1,1,.. ), so that
A339051 = (0,0,1,1,1,0,...), the even bisection.
A339052 = (1,1,0,0,1,1,...), the odd bisection.
MATHEMATICA
r = (1 + Sqrt[5])/2; z = 200;
Table[Floor[(2 n + 1) r] - Floor[2 n r] - 1, {n, 0, Floor[z/2]}] (*A339051*)
Table[Floor[(2 n + 2) r] - Floor[(2 n + 1) r] - 1, {n, 0, Floor[z/2]}] (*A339052*)
CROSSREFS
Sequence in context: A128130 A133872 A286903 * A284490 A284505 A285661
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Dec 08 2020
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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 08:53 EDT 2024. Contains 371268 sequences. (Running on oeis4.)