|
| |
|
|
A143667
|
|
Digits of the infinite Fibonacci word A003849 grouped 2 by 2 and interpreted as a binary value.
|
|
2
| |
|
|
1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
COMMENTS
| Group 2 by 2 the successive letters of the infinite Fibonacci word A003849 then apply : 00->0, 01->1 and 10->2.
Also result of the following iterated morphing: 1->1022, 0->10221, 2->1021, iterated from letter 1. (Monnerot 2008)
Fractal properties studied (proposed for publication)
|
|
|
REFERENCES
| M. Lothaire, Combinatorics on words, Cambridge University Press.
|
|
|
LINKS
| A. Monnerot-Dumaine, Fibonacci Fractal
A. Monnerot-Dumaine, The Fibonacci Word Fractal [From Alexis Monnerot-Dumaine (alexis.monnerotdumaine(AT)gmail.com), Aug 31 2009]
|
|
|
FORMULA
| a(n) = decimal value of b(2n-1)b(2n), b(n) taken from A003849 (infinite Fibonacci word)
|
|
|
EXAMPLE
| a(1)= 1 because the infinite fibonacci word starts with "01", a(2)= 0 because it continues with "00" and so on...
|
|
|
CROSSREFS
| Cf A003849
Sequence in context: A096830 A141647 A001617 * A084934 A125927 A092869
Adjacent sequences: A143664 A143665 A143666 * A143668 A143669 A143670
|
|
|
KEYWORD
| easy,nonn,word
|
|
|
AUTHOR
| Alexis Monnerot-Dumaine (alexis.monnerotdumaine(AT)gmail.com), Aug 28 2008
|
| |
|
|
