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:
“This is the Scroll of Thoth. Herein are set down the magic words by which Isis raised Osiris from the dead. Oh! Amon-Ra—Oh! God of Gods—Death is but the doorway to new life—We live today-we shall live again—In many forms shall we return-Oh, mighty one.”
—John L. Balderston (1899–1954)