Some Properties of the Quasi-Tribonacci Sequence

Jiemeng Zhang () and Zhixiong Wen
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Jiemeng Zhang: School of Mathematics and Physics, Wuhan Institute of Technology, Wuhan 430205, China
Zhixiong Wen: School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China

Mathematics, 2023, vol. 11, issue 13, 1-13

Abstract: 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.

Keywords: Tribonacci sequence; quasi-Tribonacci sequence; singular words; Lyndon words (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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