Results 91 to 100 of about 14,002 (132)

On third-order Jacobsthal numbers and their bihyperbolic generalizations [PDF]

In this paper, we introduce bihyperbolic third-order Jacobsthal and third-order Jacobsthal--Lucas numbers. In other words, bihyperbolic numbers whose coefficients are consecutive third-order Jacobsthal and third-order Jacobsthal--Lucas numbers ...
Morales, Gamaliel
core   +2 more sources

Pell and Pell-Lucas numbers as sums of two Jacobsthal numbers [PDF]

, 2022
We solve the two Diophantine equations $P_k=J_n+J_m$ and $Q_k=J_n+J_m$ where $\left\lbrace P_{k}\right\rbrace_{k\geq0}$, $\left\lbrace Q_{k}\right\rbrace_{k\geq0}$ and $\left\lbrace J_{k}\right\rbrace_{k\geq0}$ are the sequences of Pell numbers, Pell ...
Gaber, Ahmed
core   +1 more source

A Note on Generalized k-Order F&L Hybrinomials

Axioms
In this study, we introduce generalized k-order Fibonacci and Lucas (F&L) polynomials that allow the derivation of well-known polynomial and integer sequences such as the sequences of k-order Pell polynomials, k-order Jacobsthal polynomials and k-order ...
Süleyman Aydınyüz, Gül Karadeniz Gözeri   +1 more
doaj   +1 more source

A Hybrid Matrix-Based Cryptographic Framework Using Multiple Linear Recurrence Sequences

Mathematics
In this study, we propose a matrix-based transformation framework constructed from special integer sequences, including Fibonacci, Lucas, Pell, and Jacobsthal numbers.
Sukran Uygun
doaj   +1 more source

Hyperbolic Jacobsthal Numbers [PDF]

, 2019
In this paper, we introduce the Hyperbolic Jacobsthal numbers and we present recurrence relations, Binet's formulas, generating functions and the summation formulas for these numbers.
Can Murat Dikmen
core   +1 more source

New identities involving Fibonacci, Lucas and Jacobsthal numbers using tilings [PDF]

, 2018
Orientador: José Plínio de Oliveira SantosTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação CientíficaResumo: Neste trabalho, colaboramos com provas combinatórias que utilizam a contagem e a q ...
Spreafico, Elen Viviani Pereira, 1986-
core  

Generalized Jacobsthal-Narayana Numbers and Generalized Co-Jacobsthal-Narayana Numbers [PDF]

This paper introduces two innovative third-order recurrence sequences: the generalized Jacobsthal-Narayana sequence and the co-Jacobsthal-Narayana sequence.
Soykan, Yuksel
core   +1 more source

A new approach to Jacobsthal quaternions [PDF]

, 2017
The Jacobsthal quaternions defined by Szynal-Liana and Wloch [35]. In this paper, we defined some properties of Jacobsthal quaternions. Also, we investigated the relations between the Jacobsthal quaternions which connected with Jacobsthal and ...
Fügen Torunbalcı-Aydın, Salim Yüce, Yüce, Salim, Torunbalcı Aydın, Fügen   +3 more
core   +1 more source

k-jacobsthal and k-Jacobsthal Luca numbers sums by matrix methods [PDF]

, 2019
Bu tez çalışması altı bölümden oluşmaktadır. Birinci bölümde tam sayı dizilerinin tarihçesinden ve kullanım alanlarından bahsedilmiştir. Ayrıca çalışmamız boyunca kullandığımız kaynakların literatür özetlerine yer verilmiştir.
Aydın, Tuğba
core  

Integral representations of the Jacobsthal and Jacobsthal-Lucas numbers

Our study aims to obtain integral representations of Jacobsthal J_kn and Jacobsthal-Lucas L_kn, and then to use these integral representations to derive integral representations of Jacobsthal J_kn+r and Jacobsthal-Lucas L_kn+r, where n\in Z_0={0,1,2,..} is a non-negative integer, k \in Z_>0=1,2,3,...  is an arbitrary but fixed positive integer, while r
openaire   +2 more sources