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

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.

Detalles Bibliográficos
Autores principales: Laipaporn, Kittipong, Phibul, Kiattiyot, Khachorncharoenkul, Prathomjit
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2021
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8414186/
https://www.ncbi.nlm.nih.gov/pubmed/34504973
http://dx.doi.org/10.1016/j.heliyon.2021.e07883
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author Laipaporn, Kittipong
Phibul, Kiattiyot
Khachorncharoenkul, Prathomjit
author_facet Laipaporn, Kittipong
Phibul, Kiattiyot
Khachorncharoenkul, Prathomjit
author_sort Laipaporn, Kittipong
collection PubMed
description 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.
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spelling pubmed-84141862021-09-08 On the pulsating (m,c)-Fibonacci sequence() Laipaporn, Kittipong Phibul, Kiattiyot Khachorncharoenkul, Prathomjit Heliyon Research Article 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. Elsevier 2021-08-31 /pmc/articles/PMC8414186/ /pubmed/34504973 http://dx.doi.org/10.1016/j.heliyon.2021.e07883 Text en © 2021 The Author(s) https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Laipaporn, Kittipong
Phibul, Kiattiyot
Khachorncharoenkul, Prathomjit
On the pulsating (m,c)-Fibonacci sequence()
title On the pulsating (m,c)-Fibonacci sequence()
title_full On the pulsating (m,c)-Fibonacci sequence()
title_fullStr On the pulsating (m,c)-Fibonacci sequence()
title_full_unstemmed On the pulsating (m,c)-Fibonacci sequence()
title_short On the pulsating (m,c)-Fibonacci sequence()
title_sort on the pulsating (m,c)-fibonacci sequence()
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8414186/
https://www.ncbi.nlm.nih.gov/pubmed/34504973
http://dx.doi.org/10.1016/j.heliyon.2021.e07883
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