Sierpinski's triangle and the Prouhet-Thue-Morse word

Details Sierpinski's triangle and the Prouhet-Thue-Morse word Sierpinski's triangle and the Prouhet-Thue-Morse word

2006-10-30

arxiv.org/abs/math/0610932v3

Mathematics

Combinatorics

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Scientific paper

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.

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