Original scientific paper
A note on the Fibonacci m-step sequences modulo q
Karol Gryszka
orcid.org/0000-0002-3258-3330
; Institute of Mathematics, Pedagogical University of Krakow,, Krakow, Poland
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
Publication date:
13.11.2022.
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