Look and Say Fibonacci
LIRMM, Univ. Montpellier 2, CNRS - 161 rue Ada, 34392 Montpellier, France; Patrice.Seebold@lirmm.fr
2 Département Mathématiques et Informatique Appliquées - UFR4, Université Paul Valéry, Route de Mende, 34199 Montpellier, France.
Accepted: 23 November 2007
The LS (Look and Say) derivative of a word is obtained by writing the number of consecutive equal letters when the word is spelled from left to right. For example, LS( 1 1 2 3 3) = 2 1 1 2 2 3 (two 1, one 2, two 3). We start the study of the behaviour of binary words generated by morphisms under the LS operator, focusing in particular on the Fibonacci word.
Mathematics Subject Classification: 68R15
Key words: Look and Say sequence / Conway / binary words / Fibonacci word / morphisms / Lyndon factorization.
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