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B. Shen, A uniformness of the Kolakoski sequence, graph, connectivity and correlations (2017) arXiv :1703.00180.

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Article

Some Formulas for the Generalized Kolakoski Sequence Kol(a, b)

1Université Moulay Ismaïl, Faculté des sciences Département de Mathématiques et Informatique, 50020 Meknès, Morocco


Turkish Journal of Analysis and Number Theory. 2017, Vol. 5 No. 4, 139-142
DOI: 10.12691/tjant-5-4-4
Copyright © 2017 Science and Education Publishing

Cite this paper:
Abdallah Hammam. Some Formulas for the Generalized Kolakoski Sequence Kol(a, b). Turkish Journal of Analysis and Number Theory. 2017; 5(4):139-142. doi: 10.12691/tjant-5-4-4.

Correspondence to: Abdallah  Hammam, Université Moulay Ismaïl, Faculté des sciences Département de Mathématiques et Informatique, 50020 Meknès, Morocco. Email: a.hammam@fs.umi.ac.ma

Abstract

We present here a new approach to investigate the Kolakoski sequence Kol(a, b). In the first part of this paper, we give some general identities. In the second, we state our main result, which concerns the frequency of the letters in the case where a and b are odd. Finally, we give an algorithm to compute the term Kn in the particular case of Kol(1, 3).

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