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The generalized order-kNarayana's cows numbers

dc.contributor.authorBilgici, Göksal
dc.date.accessioned2026-01-02T23:44:39Z
dc.date.issued2016-08-01
dc.description.abstractAbstractNarayana’s cows problem is a problem similar to the Fibonacci’s rabbit problem. We define the numbers which are the solutions of this problem as Narayana’s cows numbers. Narayana’s cows sequence satisfies the third order recurrence relationNr=Nr−1+Nr−3with initial conditionN0=N1=N2= 1. In this paper, we define a new recurrence which is called generalized order-kNarayana’s cows sequence and by using this generalization and some matrix properties, we give some identities related to the Narayana’s cows numbers.
dc.description.urihttps://doi.org/10.1515/ms-2015-0181
dc.description.urihttps://dx.doi.org/10.1515/ms-2015-0181
dc.identifier.doi10.1515/ms-2015-0181
dc.identifier.eissn1337-2211
dc.identifier.endpage802
dc.identifier.issn0139-9918
dc.identifier.openairedoi_dedup___::79120c193b61dd6481c6dac2bc1be18d
dc.identifier.orcid0000-0001-9964-5578
dc.identifier.scopus2-s2.0-84994440934
dc.identifier.startpage795
dc.identifier.urihttps://hdl.handle.net/20.500.12597/36232
dc.identifier.volume66
dc.identifier.wos000387226200004
dc.language.isoeng
dc.publisherWalter de Gruyter GmbH
dc.relation.ispartofMathematica Slovaca
dc.subject.sdg16. Peace & justice
dc.titleThe generalized order-kNarayana's cows numbers
dc.typeArticle
dspace.entity.typePublication
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