Some Properties of the Quasi-Tribonacci Sequence

Some Properties of the Quasi-Tribonacci Sequence

The quasi-Tribonacci sequence T, which is a transformation of the Tribonacci sequence, is the fixed point of morphism ϕ:0→01, 1→12, 2→0. In this paper, we study the properties of the factors in the quasi-Tribonacci sequence and give the singular factorization and the Lyndon factorization.

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Veröffentlicht in:Mathematics (Basel) 2023-07, Vol.11 (13), p.2853
Hauptverfasser: Zhang, Jiemeng, Wen, Zhixiong
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Decomposition
Factorization
Fixed point theory
Lyndon words
Mathematics
quasi-Tribonacci sequence
Sequences (Mathematics)
singular words
Tribonacci sequence
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Zusammenfassung:The quasi-Tribonacci sequence T, which is a transformation of the Tribonacci sequence, is the fixed point of morphism ϕ:0→01, 1→12, 2→0. In this paper, we study the properties of the factors in the quasi-Tribonacci sequence and give the singular factorization and the Lyndon factorization.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11132853