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Some Properties of the Quasi-Tribonacci Sequence

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jiemeng Zhang & Zhixiong Wen, 2023. "Some Properties of the Quasi-Tribonacci Sequence," Mathematics, MDPI, vol. 11(13), pages 1-13, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2853-:d:1179202
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