Journal of Integer Sequences, Vol. 18 (2015), Article 15.9.3

Factorizations of the Fibonacci Infinite Word

Gabriele Fici
Dipartimento di Matematica e Informatica
Università di Palermo
Via Archirafi 34
90123 Palermo


The aim of this note is to survey the factorizations of the Fibonacci infinite word that make use of the Fibonacci words and other related words, and to show that all these factorizations can be easily derived in sequence starting from elementary properties of the Fibonacci numbers.

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(Concerned with sequences A000032 A000045.)

Received July 30 2015; revised versions received August 3 2015; August 6 2015. Published in Journal of Integer Sequences, August 7 2015.

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