Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
The first study of the Jacobsthal-Mulatu Numbers
View through CrossRef
The aim of this study is to find a sequence of Jacobsthal-type numbers, which we will denote by {JMn}n≥0 and name as the sequence of Jacobsthal-Mulatu, such that each term of the Jacobsthal-Lucas sequence, denoted by {jn}n≥0, is an average term between JMn and Jn, where {Jn}n≥0 is the classical Jacobsthal sequence. We investigated some key characteristics of the sequence of Jacobsthal-Mulatu. In this study, we present some interesting properties of these sequences of numbers explored in connection with the sequences {Jn}n≥0 and {jn}n≥0.
Universidade Federal de São Carlos
Title: The first study of the Jacobsthal-Mulatu Numbers
Description:
The aim of this study is to find a sequence of Jacobsthal-type numbers, which we will denote by {JMn}n≥0 and name as the sequence of Jacobsthal-Mulatu, such that each term of the Jacobsthal-Lucas sequence, denoted by {jn}n≥0, is an average term between JMn and Jn, where {Jn}n≥0 is the classical Jacobsthal sequence.
We investigated some key characteristics of the sequence of Jacobsthal-Mulatu.
In this study, we present some interesting properties of these sequences of numbers explored in connection with the sequences {Jn}n≥0 and {jn}n≥0.
Related Results
More on the Fascinating Characterizations of Mulatu’s Numbers
More on the Fascinating Characterizations of Mulatu’s Numbers
Background
The discoveries of Mulatu’s numbers, better known as Mulatu’s sequence, represent revolutionary contributions to the mathematical world. His best-known...
More on the Fascinating Characterizations of Mulatu’s Numbers
More on the Fascinating Characterizations of Mulatu’s Numbers
Background The discoveries of Mulatu’s numbers, better known as Mulatu’s sequence, represent revolutionary contributions to the mathematical world. His best-known work is Mulatu’s ...
More on the Fascinating Characterizations of Mulatu’s Numbers
More on the Fascinating Characterizations of Mulatu’s Numbers
Background The discoveries of Mulatu’s numbers, better known as Mulatu’s sequence, represent revolutionary contributions to the mathematical world. His best-known work is Mulatu’s ...
The Third Order Jacobsthal Octonions: Some Combinatorial Properties
The Third Order Jacobsthal Octonions: Some Combinatorial Properties
Abstract
Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of au...
Some results on dual third-order Jacobsthal quaternions
Some results on dual third-order Jacobsthal quaternions
Dual Fibonacci and dual Lucas numbers are defined with dual Fibonacci and
Lucas quaternions in Nurkan and G?ven [14]. In this study, we define the
dual third-order Jacobsthal...
Dual third-order Jacobsthal quaternions
Dual third-order Jacobsthal quaternions
In 2016, Yüce and Torunbalcı Aydın (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lu...
On fourth-order jacobsthal quaternions
On fourth-order jacobsthal quaternions
In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. I...
Jacobsthal Representation Hybrinomials
Jacobsthal Representation Hybrinomials
Abstract
Jacobsthal numbers are a special case of numbers defined recursively by the second order linear relation and for these reasons they are also named as num...