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Title: On the Mersenne sequence
Authors: Catarino, Paula
Campos, Helena
Vasco, Paulo
Keywords: Mersenne numbers
Jacobsthal numbers
Jacobsthal-Lucas numbers
g-circulant matrix
Issue Date: 21-Dec-2016
Publisher: Tibor Tómács
Citation: Annales Mathematicae et Informaticae 46 (2016) pp. 37–53
Abstract: From Binet’s formula of Mersenne sequence we get some properties for this sequence. Mersenne, Jacobsthal and Jacobsthal-Lucas sequences are considered in order to achieve some relations between them, sums and certain products involving terms of these sequences. We also present some results with matrices involving Mersenne numbers such as the generating matrix, tridiagonal matrices and circulant type matrices.
Peer Reviewed: yes
ISSN: 1787-5021 (Print)
Document Type: Article
Appears in Collections:DMAT - Artigo publicado em Revista Científica Indexada

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