k-GENERALIZED FIBONACCI NUMBERS CLOSE TO THE FORM 2a | 3b | 5c

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dc.authoridALP, Murat/0000-0002-9252-7090
dc.authoridIRMAK, Nurettin/0000-0003-0409-4342
dc.contributor.authorIrmak, N.
dc.contributor.authorAlp, M.
dc.date.accessioned2024-11-07T13:24:35Z
dc.date.available2024-11-07T13:24:35Z
dc.date.issued2017
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractThe k-generalized Fibonacci sequence {F-n((k))}(n >= 0) is defined as the sum of the k proceeding terms and initial conditions are 0, ..., 0, 1 (k terms). In this paper, we solve the diophantine equation F-n((k)) = 2(a) + 3(b) + 5(c) + delta, where a, b, c and delta are nonnegative integers with max {a, b} <= c and 0 <= delta <= 5. This work generalizes a recent Marques [9] and the first author, Szalay [6] results.
dc.description.sponsorshipNigde University [FEB 2013/30 BAGEP]
dc.description.sponsorshipThis project is supported by Nigde University's Project No: FEB 2013/30 BAGEP.
dc.identifier.endpage286
dc.identifier.issn0231-6986
dc.identifier.issn0862-9544
dc.identifier.issue2
dc.identifier.startpage279
dc.identifier.urihttps://hdl.handle.net/11480/14203
dc.identifier.volume86
dc.identifier.wosWOS:000410994400008
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherComenius Univ
dc.relation.ispartofActa Mathematica Universitatis Comenianae
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241106
dc.subjectk-generalized Fibonacci sequence
dc.subjectlinear forms in logarithms
dc.subjectreduction method
dc.titlek-GENERALIZED FIBONACCI NUMBERS CLOSE TO THE FORM 2a | 3b | 5c
dc.typeArticle

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