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Geonardo numbers

2025-09-02Artigo científico Acesso aberto
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datacite.subject.fosCiências Naturais::Matemáticas
dc.contributor.authorMoreira, Catarina
dc.contributor.authorBeites, Patrícia Damas
dc.date.accessioned2026-01-20T12:10:40Z
dc.date.available2026-01-20T12:10:40Z
dc.date.issued2025-09-02
dc.description.abstractInspired by the term Gibonacci numbers, which was coined by A. T. Benjamin and J. J. Quinn as shorthand for generalized Fibonacci numbers, Geonardo numbers are considered. More concretely, for each a ∈ N0, the study of the sequence of generalized Leonardo numbers associated with a, introduced in an earlier work, is continued and new properties of these numbers are studied: parity; forms of Binet’s formula; growth of consecutive Geonardo numbers plus a ∈ N0; generating functions – ordinary, exponential, Poisson; identities – sum-binomial, Catalan, Cassini, d’Ocagne, Melham. In addition, some unknown equalities and inequalities related to Leonardo numbers are previously established.eng
dc.description.sponsorshipP. D. Beites was supported by FCT (Fundação para a Ciência e a Tecnologia, Portugal), research project UIDB/00212/2020 of CMA-UBI (Centro de Matemática e Aplicações, Universidade da Beira Interior, Portugal), and by the research project PID2021-123461NB-C22 (Spain).
dc.identifier.doi10.5269/bspm.76581
dc.identifier.eissn2175-1188
dc.identifier.urihttp://hdl.handle.net/10400.6/19700
dc.language.isoeng
dc.peerreviewedyes
dc.publisherEditora da Universidade Estadual de Maringá
dc.relationCenter of Mathematics and Applications of University of Beira Interior [UIDB/00212/2020]
dc.relation.hasversionhttps://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/76581
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectLeonardo number
dc.subjectGeonardo number
dc.subjectIdentity
dc.subjectInequality
dc.titleGeonardo numberspor
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter of Mathematics and Applications of University of Beira Interior [UIDB/00212/2020]
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00212%2F2020/PT
oaire.citation.titleBoletim da Sociedade Paranaense de Matemática
oaire.citation.volume43
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameMoreira
person.familyNameBeites
person.givenNameCatarina
person.givenNamePatrícia Damas
person.identifier.ciencia-id591A-8D9A-73CE
person.identifier.orcid0009-0005-8242-1187
person.identifier.orcid0000-0003-0266-7055
person.identifier.ridK-5772-2017
person.identifier.scopus-author-id37041170800
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
relation.isAuthorOfPublicationee3a0551-8369-4688-bc79-9db0372a21e3
relation.isAuthorOfPublication9f86873f-5364-4413-a23d-ceab6f2372a3
relation.isAuthorOfPublication.latestForDiscovery9f86873f-5364-4413-a23d-ceab6f2372a3
relation.isProjectOfPublication8ba4cb1c-bd74-44b8-bc32-20b90c6c920d
relation.isProjectOfPublication.latestForDiscovery8ba4cb1c-bd74-44b8-bc32-20b90c6c920d

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