Some properties of the Tribonacci sequence

Authors:
Bo Tan;Zhi-Ying Wen
Affiliations:
Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, PR China;Department of Mathematics, Tsinghua University, Beijing 100084, PR China
Venue:
European Journal of Combinatorics
Year:
2007

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Abstract

In this paper, we consider the factor properties of the Tribonacci sequence. We define the singular words, and then give the singular factorization and the Lyndon factorization. As applications, we study the powers of the factors and the overlap of the factors. We also calculate the free index of the sequence.