Some properties of Leonardo numbers

Y Alp, EG Koçer - Konuralp Journal of Mathematics, 2021 - dergipark.org.tr
In this paper, we consider the Leonardo numbers which is defined by Catarino and Borges.
Using Binet's formula of this sequence, we obtain new identities of the Leonardo numbers …

Hybrid Leonardo numbers

Y Alp, EG Kocer - Chaos, Solitons & Fractals, 2021 - Elsevier
Until today, many researchers have studied related to hybrid numbers which are a
generalization of complex, hyperbolic and dual numbers. In this paper, using the Leonardo …

Hybrid quaternions of Leonardo

MCS Mangueira, FRV Alves, P Catarino - Trends in Computational …, 2022 - SciELO Brasil
In this article, we intend to investigate the Leonardo sequence presenting the hybrid
Leonardo quaternions. To explore Hybrid Quaternions of Leonardo, the priori, sequence of …

Pauli-Leonardo quaternions

Z Isbilir, M Akyigit, M Tosun - 2023 - acikerisim.sakarya.edu.tr
With the advent of wearable/portable electronics and hybrid electric vehicles,
supercapacitors have gained much interest owing to their high-power density. This work …

A forma matricial dos números de Leonardo

RPM Vieira, MC dos Santos Mangueira… - Ciencia e …, 2020 - periodicos.ufsm.br
In this work we will investigate the generating matrices for the positive integers of the
Leonardo sequence, as well as some inherent properties of these matrices. In order to …

Teaching Recurrent Sequences in Brazil Using Historical Facts and Graphical Illustrations.

FRV Alves, PMMC Catarino, RPM Vieira… - Acta Didactica …, 2020 - ERIC
The present work presents a proposal for study and investigation, in the context of the
teaching of Mathematics, through the history of linear and recurrent 2nd order sequences …

Special cases of generalized Leonardo numbers: Modified p-Leonardo, p-Leonardo-Lucas and p-Leonardo Numbers

Y Soykan - Earthline Journal of Mathematical Sciences, 2023 - earthlinepublishers.com
In this paper, we define and investigate modified p-Leonardo, p-Leonardo-Lucas and p-
Leonardo sequences as special cases of the generalized Leonardo sequence. We present …

[PDF][PDF] Generalized Leonardo numbers

Y Soykan - Journal of Progressive Research in Mathematics, 2021 - core.ac.uk
In this paper, we investigate the generalized Leonardo sequences and we deal with, in
detail, three special cases, namely, modified Leonardo, Leonardo-Lucas and Leonardo …

[PDF][PDF] State of the art on the Leonardo sequence: An evolutionary study of the epistemic-mathematical field

MCS Mangueira, FRV Alves, P Catarino… - Pedagogical …, 2024 - researchgate.net
Accepted: 10 Apr. 2024 This work is a segment of an ongoing doctoral research in Brazil.
The Leonardo numbers and the Leonardo sequence have gained attention from …

Visualizing the Newtons Fractal from the Recurring Linear Sequence with Google Colab: An Example of Brazil X Portugal Research.

FRV Alves, RPM Vieira, PMMC Catarino - International electronic journal of …, 2020 - ERIC
In this work, recurrent and linear sequences are studied, exploring the teaching of these
numbers with the aid of a computational resource, known as Google Colab. Initially, a brief …