Sierpinski's triangle and the Prouhet-Thue-Morse word
Combinatorics
2007-05-23 v3
Abstract
Sierpinski's triangle is a fractal and the Prouhet-Thue-Morse word is sufficiently chaotic to avoid cubes. Here we observe that there is at least a tenuous connection between them: the Sierpinski triangle is evident in Pascal's triangle mod 2 whose inverse, as an infinite lower-triangular matrix, involves the Prouhet-Thue-Morse word.
Cite
@article{arxiv.math/0610932,
title = {Sierpinski's triangle and the Prouhet-Thue-Morse word},
author = {David Callan},
journal= {arXiv preprint arXiv:math/0610932},
year = {2007}
}
Comments
another reference