MATHEMATICA BOHEMICA, Vol. 133, No. 3, pp. 267-288 (2008)

Tribonacci modulo $p^t$

Jiri Klaska

Jiri Klaska, Department of Mathematics, Brno University of Technology, Technicka 2, 616 69 Brno, Czech Republic, e-mail: klaska@fme.vutbr.cz

Abstract: Our research was inspired by the relations between the primitive periods of sequences obtained by reducing Tribonacci sequence by a given prime modulus $p$ and by its powers $p^t$, which were deduced by M. E. Waddill. In this paper we derive similar results for the case of a Tribonacci sequence that starts with an arbitrary triple of integers.

Keywords: Tribonacci, modular periodicity, periodic sequence

Classification (MSC2000): 11B50, 11B39

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