The first study of the Jacobsthal-Mulatu Numbers
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.
Authors
- Paula Catarino (ORCID: https://orcid.org/0000-0001-6917-5093)
- Eudes Antônio Costa (ORCID: https://orcid.org/0000-0001-6684-9961)
- Élis Gardel da Costa Mesquita (ORCID: https://orcid.org/0000-0003-2385-4108)
- Francisco Régis Vieira Alves (ORCID: https://orcid.org/0000-0003-3710-1561)
Institutions
- University of Trás-os-Montes and Alto Douro (PT)
- Instituto Federal de Educação, Ciência e Tecnologia do Ceará (BR)
- Universidade Federal do Tocantins (BR)
- Federal Ministry of Innovation, Science and Technology (NG)
Publication Details
- Journal
- Latin American Journal of Mathematics.
- Published
- 2025-08-20
- DOI
- https://doi.org/10.14244/lajm.v4i1.39
- Citations
- 1
- Primary Topic
- Experimental and Theoretical Physics Studies
- Type
- article
- Field-Weighted Citation Impact
- 1.32
Funders
- Universidade do Minho
- Universidade de Trás-os-Montes e Alto Douro
- Fundação para a Ciência e a Tecnologia