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Symmetry
Other literature type . 2023
License: CC BY
Full-Text: http://www.mdpi.com/2073-8994/15/1/149/pdf
Data sources: Multidisciplinary Digital Publishing Institute
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Symmetry
Article . 2023 . Peer-reviewed
License: CC BY
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Ordered Leonardo Quadruple Numbers

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 04 Jan 2023 English Publisher:MDPI AGJournal:Symmetry, volume 15, page 149 (eissn: 2073-8994, Copyright policy )
Authors: Semra Kaya Nurkan; İlkay Arslan Güven;

doi: 10.3390/sym15010149

Ordered Leonardo Quadruple Numbers

Abstract

In this paper, we introduce a new quadruple number sequence by means of Leonardo numbers, which we call ordered Leonardo quadruple numbers. We determine the properties of ordered Leonardo quadruple numbers including relations with Leonardo, Fibonacci, and Lucas numbers. Symmetric and antisymmetric properties of Fibonacci numbers are used in the proofs. We attain some well-known identities, the Binet formula, and a generating function for these numbers. Finally, we provide illustrations of the identities.

Related Organizations
Keywords

Fibonacci quaternions; Leonardo numbers; quadruple numbers

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    		 8
    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.
    		 Top 10%
    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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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!
8
Top 10%
Average
Top 10%
gold