THE NARAYANA SEQUENCE IN FINITE GROUPS

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Özet

In this paper, the Narayana sequence modulo m is studied. The paper outlines the definition of Narayana numbers and some of their combinatorial links with Eulerian, Catalan and Delannoy numbers and other special functions. From the definition, the Narayana orbit of a 2-generator group for a generating pair (x, y) ∈ G is defined, so that the lengths of the period of the Narayana orbit can be examined. These yield in turn the Narayana lengths of the polyhedral group and the binary polyhedral group for the generating pair (x, y) and associated properties. © 2022 Fibonacci Association. All rights reserved.

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AlanDeğerDil
dc.contributor.authorKuloğLu, Bahar
dc.contributor.authorÖzkan, Engin
dc.contributor.authorShannon, Anthony G.
dc.date.accessioned2026-10-18T20:27:27.242793534Z
dc.date.available2026-10-18T20:27:27.242793534Z
dc.date.issued2022
dc.description.abstractIn this paper, the Narayana sequence modulo m is studied. The paper outlines the definition of Narayana numbers and some of their combinatorial links with Eulerian, Catalan and Delannoy numbers and other special functions. From the definition, the Narayana orbit of a 2-generator group for a generating pair (x, y) ∈ G is defined, so that the lengths of the period of the Narayana orbit can be examined. These yield in turn the Narayana lengths of the polyhedral group and the binary polyhedral group for the generating pair (x, y) and associated properties. © 2022 Fibonacci Association. All rights reserved.
dc.identifier.doi10.1080/00150517.2022.12427441
dc.identifier.endpage221
dc.identifier.issn0015-0517
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85161352373
dc.identifier.startpage212
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12566
dc.identifier.volume60
dc.identifier.wosWOS:001554305400001
dc.language.isoen
dc.publisherFibonacci Association
dc.relation.ispartofFibonacci Quarterly
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFIBONACCI SEQUENCES
dc.subjectPADOVAN SEQUENCES
dc.subjectMathematics
dc.titleTHE NARAYANA SEQUENCE IN FINITE GROUPS
dc.typeConference Object
dspace.entity.typePublication
rdl.citation.scopus3
rdl.citation.wos2
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)