The aim of this note is to give a simple construction of the Tribonacci sequences, namely they consist of the occurrences of letters in an infinite word obtained as the fixed point of the morphism θ defined by θ : a → ab; b → ac; c → a. The construction is combinatorial and admits a generalization to k-bonacci sequences.
On Tribonacci sequences / E. BARCUCCI; L. BELANGER; S. BRLEK. - In: THE FIBONACCI QUARTERLY. - ISSN 0015-0517. - STAMPA. - 42:(2004), pp. 314-319.
On Tribonacci sequences
BARCUCCI, ELENA;
2004
Abstract
The aim of this note is to give a simple construction of the Tribonacci sequences, namely they consist of the occurrences of letters in an infinite word obtained as the fixed point of the morphism θ defined by θ : a → ab; b → ac; c → a. The construction is combinatorial and admits a generalization to k-bonacci sequences.
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