Geodesic
A Property of Fibonacci words
Séminaire lotharingien de combinatoire, Tome 05 (1981)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

By making use of a result of J. Berstel (unpublished) which states that, for n>=3, fn has a palindrome left factor of length |fn|-2, we prove that for all n>=4, fn is the product of two uniquely determined palindrome words, of lengths |fn-1|-2 and |fn-2|+2. It follows that for n>4 the sequence {fn} is the unique sequence of words satisfying the previously mentioned properties and the additional requirements that the words contain at least two different letters and that all begin with the same letter (namely, b).

The paper has been finally published under the title "A combinatorial property of the Fibonacci words" in Inform. Process. Lett. 12 (1981), 193-195. 

@article{SLC_1981_05_a7,
     author = {Aldo de Luca},
     title = {A {Property} of {Fibonacci} words},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {05},
     year = {1981},
     url = {http://geodesic.mathdoc.fr/item/SLC_1981_05_a7/}
}
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Aldo de Luca. A Property of Fibonacci words. Séminaire lotharingien de combinatoire, Tome 05 (1981). http://geodesic.mathdoc.fr/item/SLC_1981_05_a7/