On the Mersenne sequence

dc.contributor.authorCampos, Helena
dc.contributor.authorCatarino, Paula
dc.contributor.authorVasco, Paulo
dc.date.accessioned2016-12-29T09:59:39Z
dc.date.available2016-12-29T09:59:39Z
dc.date.issued2016-12-21
dc.description.abstractFrom 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.pt
dc.identifier.citationAnnales Mathematicae et Informaticae 46 (2016) pp. 37–53pt
dc.identifier.issn1787-5021 (Print)
dc.identifier.urihttp://hdl.handle.net/10348/7132
dc.language.isoengpt
dc.peerreviewedyespt
dc.publisherTibor Tómácspt
dc.relation.ispartofCM - Centro de Matemáticapt
dc.relation.publisherversionhttp://ami.ektf.hu/uploads/papers/finalpdf/AMI_46_from37to53.pdfpt
dc.rightsopen accesspt
dc.subjectMersenne numberspt
dc.subjectJacobsthal numberspt
dc.subjectJacobsthal-Lucas numberspt
dc.subjectg-circulant matrixpt
dc.titleOn the Mersenne sequencept
dc.typejournal articlept
degois.publication.firstPage37pt
degois.publication.lastPage53pt
degois.publication.titleAnnales Mathematicae et Informaticaept
degois.publication.volume46pt
dspace.entity.typePublicationen
person.affiliation.nameDMAT
person.affiliation.nameUTAD
person.familyNameCatarino
person.familyNameVasco
person.givenNamePaula
person.givenNamePaulo
person.identifier.ciencia-idBE11-2A54-0443
person.identifier.orcid0000-0001-6917-5093
person.identifier.orcid0000-0001-5460-4297
person.identifier.scopus-author-id55899791800
person.identifier.scopus-author-id24176341800
relation.isAuthorOfPublicatione10dad97-e7a0-4ffc-a5f2-86a779692873
relation.isAuthorOfPublication0e852811-7176-445b-8fe5-61b4f150c4b7
relation.isAuthorOfPublication.latestForDiscoverye10dad97-e7a0-4ffc-a5f2-86a779692873

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