Heliyon, Volume 7, Issue 9 , 01/09/2021

On the pulsating (m,c)-Fibonacci sequence✩

Kittipong Laipaporn, Kiattiyot Phibul, Prathomjit Khachorncharoenkul

Abstract

In this paper, we study new ideas in the generalization of additive and multiplicative pulsating Fibonacci sequences. Then, we construct two types of pulsating Fibonacci sequences of the mth order. Moreover, the closed forms of the two sequences are derived by basic linear algebra.

Document Type

Article

Source Type

Journal

Keywords

DiagonalizationEigenvalueFibonacci sequenceMatrix decompositionPulsating sequence

ASJC Subject Area

Multidisciplinary : Multidisciplinary

Funding Agency

Walailak University

Access to Document

DOI : 10.1016/j.heliyon.2021.e07883
Link to scopus


2

Citations (Scopus)

Bibliography


Laipaporn, K., Phibul, K., & Khachorncharoenkul, P. (2021). On the pulsating (m,c)-Fibonacci sequence✩. Heliyon, 7(9) doi:10.1016/j.heliyon.2021.e07883

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