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The first study of the Jacobsthal-Mulatu Numbers
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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
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Abstract
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