Work

The first study of the Jacobsthal-Mulatu Numbers

Year: 2025

Type: article

Abstract: 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.

Source: Latin American Journal of Mathematics.

DOI: 10.14244/lajm.v4i1.39

Authors: Élis Gardel da Costa Mesquita, Eudes Antonio Costa, Paula M.M.C. Catarino, Francisco R.V. Alves

Institutions: Universidade Federal do Tocantins, University of Trás-os-Montes and Alto Douro, Instituto Federal de Educação, Ciência e Tecnologia do Ceará

Language: English

Topic: Advanced Mathematical Theories and Applications

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Universidade do Minho, Universidade de Trás-os-Montes e Alto Douro, Fundação para a Ciência e a Tecnologia

Award: G4661349473