On the Mersenne sequence

Detalhes bibliográficos
Autor(a) principal: Campos, Helena
Data de Publicação: 2016
Outros Autores: Catarino, Paula, Vasco, Paulo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10348/7132
Resumo: 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.
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spelling On the Mersenne sequenceMersenne numbersJacobsthal numbersJacobsthal-Lucas numbersg-circulant matrixFrom 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.Tibor Tómács2016-12-29T09:59:39Z2016-12-21T00:00:00Z2016-12-21info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10348/7132eng1787-5021 (Print)Campos, HelenaCatarino, PaulaVasco, Pauloinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-11-24T02:08:51Zoai:repositorio.utad.pt:10348/7132Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-11-24T02:08:51Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On the Mersenne sequence
title On the Mersenne sequence
spellingShingle On the Mersenne sequence
Campos, Helena
Mersenne numbers
Jacobsthal numbers
Jacobsthal-Lucas numbers
g-circulant matrix
title_short On the Mersenne sequence
title_full On the Mersenne sequence
title_fullStr On the Mersenne sequence
title_full_unstemmed On the Mersenne sequence
title_sort On the Mersenne sequence
author Campos, Helena
author_facet Campos, Helena
Catarino, Paula
Vasco, Paulo
author_role author
author2 Catarino, Paula
Vasco, Paulo
author2_role author
author
dc.contributor.author.fl_str_mv Campos, Helena
Catarino, Paula
Vasco, Paulo
dc.subject.por.fl_str_mv Mersenne numbers
Jacobsthal numbers
Jacobsthal-Lucas numbers
g-circulant matrix
topic Mersenne numbers
Jacobsthal numbers
Jacobsthal-Lucas numbers
g-circulant matrix
description 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.
publishDate 2016
dc.date.none.fl_str_mv 2016-12-29T09:59:39Z
2016-12-21T00:00:00Z
2016-12-21
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10348/7132
url http://hdl.handle.net/10348/7132
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1787-5021 (Print)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Tibor Tómács
publisher.none.fl_str_mv Tibor Tómács
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv mluisa.alvim@gmail.com
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