The Fibonacci Words
We have:
0
01
010
01001
01001010
0100101001001
...
The first few elements of the infinite Fibonacci word are:
0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, ... (sequence A003849 in OEIS)
Read more about this topic: Fibonacci Word
Famous quotes containing the word words:
“I had learned to have a perfect nausea for the theatre: the continual repetition of the same words and the same gestures, night after night, and the caprices, the way of looking at life, and the entire rigmarole disgusted me.”
—Isadora Duncan (18781927)