A Sequence Bounded Above by the Lucas Numbers

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Özet

In this work, we consider the sequence whose nth term is the number of ℎ-vectors of length n. The set ofinteger vectors E(n) is introduced. For n ≥ 2, the cardinality of E(n) is the nth Lucas number Ln isshowed. The relation between the set of ℎ-vectors L(n) and the set of integer vectors E(n) is given.

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AlanDeğerDil
dc.contributor.authorAydoğdu, Ali
dc.contributor.authorÖzkan, Engin
dc.contributor.authorGöçer, Aykut
dc.date.accessioned2026-10-20T11:09:44.978992324Z
dc.date.available2026-10-20T11:09:44.978992324Z
dc.date.issued2018
dc.description.abstractIn this work, we consider the sequence whose nth term is the number of ℎ-vectors of length n. The set ofinteger vectors E(n) is introduced. For n ≥ 2, the cardinality of E(n) is the nth Lucas number Ln isshowed. The relation between the set of ℎ-vectors L(n) and the set of integer vectors E(n) is given.
dc.identifier.doi10.16984/saufenbilder.443551
dc.identifier.eissn2147-835X
dc.identifier.endpage1856
dc.identifier.issn1301-4048
dc.identifier.issue6
dc.identifier.startpage1853
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/22570
dc.identifier.volume22
dc.language.isoen
dc.relation.ispartofSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMatematik
dc.titleA Sequence Bounded Above by the Lucas Numbers
dc.typeArticle
dspace.entity.typePublication
rdl.citation.trdizin0
rdl.oa.statusgold
rdl.oa.urlhttps://dergipark.org.tr/en/download/article-file/547469
rdl.source.indexTRDIZIN