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Original scientific paper

A note on the Fibonacci m-step sequences modulo q

Karol Gryszka orcid id orcid.org/0000-0002-3258-3330 ; Institute of Mathematics, Pedagogical University of Krakow,, Krakow, Poland


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Abstract

We briefly discuss a congruence relation of the subsequence of the Fibonacci m-step numbers. Then we use the obtained result to establish many identities regarding the Tribonacci numbers mod q with indices in arithmetic progression and connect them with the existing results. Finally, we discuss arbitrary linear recurrence sequences.

Keywords

Fibonacci m-step numbers, Tribonacci numbers, linear recurrence, Pisano number, congruence

Hrčak ID:

285109

URI

https://hrcak.srce.hr/285109

Publication date:

13.11.2022.

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