Artigo Acesso aberto Produção Nacional

The Oresme sequence: The generalization of its matrix form and its hybridization process

2021; Volume: 27; Issue: 1 Linguagem: Inglês

10.7546/nntdm.2021.27.1.101-111

ISSN

2367-8275

Autores

Milena Carolina dos Santos Mangueira, Renata Passos Machado Vieira, Francisco Régis Vieira Alves, Paula Catarino,

Tópico(s)

Advanced Mathematical Theories

Resumo

This article deals with the generalization of the matrix form of the Oresme sequence, extending it to the field of integers. In addition, the two valid generating matrices were discussed, through the permutation of the rows and columns, respectively, totaling two valid matrices of Oresme for the left-hand side, and two more generating matrices of Oresme for the right-hand side. In addition, a new Oresme sequence was introduced, given through the hybridization process of these numbers, obtaining mathematical properties and theorems, inherent to this process.

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