Some approximations and identities from special sequences for the vertices of suborbital graphs

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dc.authorid0000-0002-6933-8494en_US
dc.authorid0000-0003-0764-715Xen_US
dc.authorid0000-0002-5870-6802en_US
dc.contributor.authorGökcan, İbrahim
dc.contributor.authorDeǧer, Ali Hikmet
dc.contributor.authorÇaglayan, Ümmügülsün
dc.date.accessioned2024-12-09T10:05:08Z
dc.date.available2024-12-09T10:05:08Z
dc.date.issued2024
dc.departmentAÇÜen_US
dc.description.abstractIn this study, we investigate the vertices arising from the action of a suborbital graph, in terms of continued fractions, matrix, and recurrence relations. Using the approximation of Fibonacci sequence by the Binet formula, we demonstrate that the vertices of the suborbital graph are related to Lucas numbers. Then, we provide new identities and approximations regarding Fibonacci, Lucas, Pell, and Pell-Lucas numbers.
dc.identifier.doi10.14744/sigma.2024.00112
dc.identifier.endpage1447en_US
dc.identifier.issn1304-7191
dc.identifier.issue5en_US
dc.identifier.scopusqualityQ3
dc.identifier.startpage1439en_US
dc.identifier.urihttps://doi.org/10.14744/sigma.2024.00112
dc.identifier.urihttps://hdl.handle.net/11494/5141
dc.identifier.volume42en_US
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherYildiz Technical Universityen_US
dc.relation.ispartofSigma Journal of Engineering and Natural Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectContinued Fractionen_US
dc.subjectGeneralized Fibonacci Numbersen_US
dc.subjectModular Groupen_US
dc.titleSome approximations and identities from special sequences for the vertices of suborbital graphsen_US
dc.typeArticle

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