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Article . 2019
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On Leonardo Numbers

descriptionPublicationkeyboard_double_arrow_right Article 11 Mar 2019 Portugal English
Authors: Catarino, Paula; Borges, Anabela;

handle: 10348/12484

On Leonardo Numbers

Abstract

In this paper, we consider the sequence of Leonardo numbers and we present some properties involving this sequence, including the Binet formula, and the generating function. Furthermore, Cassini’s identity, Catalan’s identity and d’Ocagne’s identity for this sequence are given. Also some expressions of sums and products involving terms of this sequence are established. © 2019, Univerzita Komenskeho. All rights reserved.

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Keywords

Author keywords Binet’s formula, Recurrence relation, Fibonacci sequence, Generating function

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selected citations
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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!
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