On the pulsating Padovan sequence

Orhan Dişkaya and Hamza Menken
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 30, 2024, Number 1, Pages 1–7
DOI: 10.7546/nntdm.2024.30.1.1-7
Full paper (PDF, 182 Kb)

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Authors and affiliations

Orhan Dişkaya
Department of Mathematics, Mersin University
Mersin, Turkey

Hamza Menken
Department of Mathematics, Mersin University
Mersin, Turkey

Abstract

A novel kind of Padovan sequence is introduced, and precise formulas for the form of its members are given and proven. Furthermore, the pulsating Padovan sequence in its most general form is introduced and the obtained identity is proved.

Keywords

• Fibonacci sequence
• Jacobsthal sequence
• Padovan sequence

2020 Mathematics Subject Classification

• 11B39

References

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Manuscript history

• Received: 29 June 2022
• Revised: 8 May 2023
• Accepted: 18 February 2024
• Online First: 22 February 2024

Copyright information

Ⓒ 2024 by the Authors.
This is an Open Access paper distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (CC BY 4.0).