Some properties of the Tribonacci sequence

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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. © 2006 Elsevier Ltd. All rights reserved.

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Tan, B., & Wen, Z. Y. (2007). Some properties of the Tribonacci sequence. European Journal of Combinatorics, 28(6), 1703–1719. https://doi.org/10.1016/j.ejc.2006.07.007

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