On Tribonacci Sequences

Elena Barcucci, Luc B, Srečko Brlek · The Fibonacci Quarterly · 2004

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 innite 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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