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Discatenated and lacunary recurrences

ArticleAçık Erişim

Özet

Recursive sequences with gaps have been studied previously. This paper considers some elementary properties of such sequences where the gaps have been created on a regular basis from sequence to sequence - 'discatenated' (systematic gaps) and 'lacunary' (general gaps). In particular, their generating functions are developed in order to open up their general terms and relations with other properties.

Anahtar Kelimeler

Fibonacci numbersLucas sequencesLacunaryPrimordial sequencesRecurrence relationsFORMULASMathematics
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorAkkus, Hakan
dc.contributor.authorDeveci, Omur
dc.contributor.authorOzkan, Engin
dc.contributor.authorShannon, Anthony G.
dc.date.accessioned2026-10-18T20:41:10.328085335Z
dc.date.available2026-10-18T20:41:10.328085335Z
dc.date.issued2024
dc.description.abstractRecursive sequences with gaps have been studied previously. This paper considers some elementary properties of such sequences where the gaps have been created on a regular basis from sequence to sequence - 'discatenated' (systematic gaps) and 'lacunary' (general gaps). In particular, their generating functions are developed in order to open up their general terms and relations with other properties.
dc.identifier.doi10.7546/nntdm.2024.30.1.8-19
dc.identifier.eissn2367-8275
dc.identifier.endpage19
dc.identifier.issn1310-5132
dc.identifier.issue1
dc.identifier.startpage8
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/16959
dc.identifier.volume30
dc.identifier.wosWOS:001221794100013
dc.language.isoen
dc.publisherBULGARIAN ACAD SCIENCE
dc.relation.ispartofNOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFibonacci numbers
dc.subjectLucas sequences
dc.subjectLacunary
dc.subjectPrimordial sequences
dc.subjectRecurrence relations
dc.subjectFORMULAS
dc.subjectMathematics
dc.titleDiscatenated and lacunary recurrences
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos6
rdl.oa.statusgold
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)