SOME ALGEBRAIC RELATIONS ON INTEGER SEQUENCES INVOLVING OBLONG AND BALANCING NUMBERS

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dc.contributor.authorTekcan, Ahmet
dc.contributor.authorÖzkoç, Arzu
dc.contributor.authorEraşık, Meltem E.
dc.date.accessioned2020-04-30T23:32:03Z
dc.date.available2020-04-30T23:32:03Z
dc.date.issued2016
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS: 000380622200002en_US
dc.description.abstractLet k >= 0 be an integer. Oblong (pronic) numbers are numbers of the form O-k = k(k+1). In this work, we set a new integer sequence B = B-n(k) defined as B-0 = 0, B-1 = 1 and B-n = O-k Bn-1 - Bn-2 for n >= 2 and then derived some algebraic relations on it. Later, we give some new results on balancing numbers via oblong numbers.en_US
dc.description.sponsorshipCommission of Scientific Research Projects of Uludag UniversityUludag University [UAP(F)-2010/55]en_US
dc.description.sponsorshipThis work was supported by the Commission of Scientific Research Projects of Uludag University, Project number UAP(F)-2010/55.en_US
dc.identifier.endpage31en_US
dc.identifier.issn0381-7032
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage11en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12684/4583
dc.identifier.volume128en_US
dc.identifier.wosWOS:000380622200002en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherCharles Babbage Res Ctren_US
dc.relation.ispartofArs Combinatoriaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectFibonacci numbersen_US
dc.subjectLucas numbersen_US
dc.subjectPell numbersen_US
dc.subjectoblong numbersen_US
dc.subjectbalancing numbersen_US
dc.subjectbinary linear recurrencesen_US
dc.subjectcirculant matrixen_US
dc.subjectspectral normen_US
dc.subjectsimple continued fraction expansionen_US
dc.subjectcross-ratioen_US
dc.titleSOME ALGEBRAIC RELATIONS ON INTEGER SEQUENCES INVOLVING OBLONG AND BALANCING NUMBERSen_US
dc.typeArticleen_US

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