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https://doi.org/10.20944/prepr...
Article . 2025 . Peer-reviewed
License: CC BY
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https://doi.org/10.20944/prepr...
Article . 2025 . Peer-reviewed
License: CC BY
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Tri–Periodic Fibonacci Numbers and Tri–Periodic Leonardo Numbers

descriptionPublicationkeyboard_double_arrow_right Article 09 Jul 2025Publisher:MDPI AG
Authors: Bahadır Yılmaz; Yüksel Soykan;

doi: 10.20944/preprints202507.0739.v2 , 10.20944/preprints202507.0739.v1

Tri–Periodic Fibonacci Numbers and Tri–Periodic Leonardo Numbers

Abstract

In this study, we explore the properties of tri-periodic Fibonacci and tri-periodic Leonardo number sequences. Then we derive generating function of these sequences and give Binet's formula for the tri-periodic Fibonacci sequence. Furthermore, we present Cassani's identity associated with tri-periodic Fibonacci sequnce.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
hybrid