Publication: Some algebraic relations on integer sequences involving oblong and balancing numbers
dc.contributor.author | Özkoç, Arzu | |
dc.contributor.buuauthor | Tekcan, Ahmet | |
dc.contributor.buuauthor | Eraşık, Meltem E. | |
dc.contributor.department | Fen Edebiyat Fakültesi | |
dc.contributor.department | Matematik Bölümü | |
dc.contributor.researcherid | AAH-8518-2021 | |
dc.contributor.researcherid | CQA-6599-2022 | |
dc.contributor.scopusid | 55883777900 | |
dc.contributor.scopusid | 57196046447 | |
dc.date.accessioned | 2023-09-08T13:28:59Z | |
dc.date.available | 2023-09-08T13:28:59Z | |
dc.date.issued | 2016-07 | |
dc.description.abstract | Let 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. | |
dc.identifier.citation | Tekcan, A. vd. (2016). "Some algebraic relations on integer sequences involving oblong and balancing numbers". Ars Combinatoria, 128, 11-31. | |
dc.identifier.endpage | 31 | |
dc.identifier.issn | 0381-7032 | |
dc.identifier.scopus | 2-s2.0-85031328851 | |
dc.identifier.startpage | 11 | |
dc.identifier.uri | http://hdl.handle.net/11452/33809 | |
dc.identifier.volume | 128 | |
dc.identifier.wos | 000380622200002 | |
dc.indexed.wos | SCIE | |
dc.language.iso | en | |
dc.publisher | Charles Babbage Research Centre | |
dc.relation.bap | UAP(F)-2010/55 | |
dc.relation.collaboration | Yurt içi | |
dc.relation.journal | Ars Combinatoria | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | |
dc.rights | info:eu-repo/semantics/closedAccess | |
dc.subject | Mathematics | |
dc.subject | Fibonacci numbers | |
dc.subject | Lucas numbers | |
dc.subject | Pell numbers | |
dc.subject | Oblong numbers | |
dc.subject | Balancing numbers | |
dc.subject | Binary linear recurrences | |
dc.subject | Circulant matrix | |
dc.subject | Spectral norm | |
dc.subject | Simple continued fraction expansion | |
dc.subject | Cross-ratio | |
dc.subject.scopus | Diophantine Equation; Number; Linear Forms in Logarithms | |
dc.subject.wos | Mathematics | |
dc.title | Some algebraic relations on integer sequences involving oblong and balancing numbers | |
dc.type | Article | |
dc.wos.quartile | Q3 | |
dspace.entity.type | Publication | |
local.contributor.department | Fen Edebiyat Fakültesi/Matematik Bölümü | |
local.indexed.at | Scopus | |
local.indexed.at | WOS |
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