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Algebra and Discrete Mathematics, 2015, Volume 20, Issue 1, Pages 40–54 (Mi adm530)  
This article is cited in 3 scientific papers (total in 3 papers)

RESEARCH ARTICLE

New families of Jacobsthal and Jacobsthal-Lucas numbers

Paula Catarino, Paulo Vasco, Helena Campos, Ana Paula Aires, Anabela Borges

Universidade de Trás-os-Montes e Alto Douro
Full-text PDF (330 kB) Citations (3)
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Abstract: In this paper we present new families of sequences that generalize the Jacobsthal and the Jacobsthal-Lucas numbers and establish some identities. We also give a generating function for a particular case of the sequences presented.
Keywords: Jacobsthal numbers, Jacobsthal-Lucas numbers, Binet formula, generating matrix, generating function.
Funding agency Grant number
Fundação para a Ciência e a Tecnologia PEst-OE/MAT/UI4080/2014
This work has been supported by the Portuguese Government through the FCT — Fundação para a Ciência e a Tecnologia — under the project PEst-OE/MAT/UI4080/2014.
Received: 18.11.2014
Revised: 31.12.2014
Bibliographic databases:
Document Type: Article
MSC: 11B37, 11B83, 05A15
Language: English
Citation: Paula Catarino, Paulo Vasco, Helena Campos, Ana Paula Aires, Anabela Borges, “New families of Jacobsthal and Jacobsthal-Lucas numbers”, Algebra Discrete Math., 20:1 (2015), 40–54
Citation in format AMSBIB
\Bibitem{CatVasCam15}
\by Paula~Catarino, Paulo~Vasco, Helena~Campos, Ana~Paula~Aires, Anabela~Borges
\paper New families of Jacobsthal and Jacobsthal-Lucas numbers
\jour Algebra Discrete Math.
\yr 2015
\vol 20
\issue 1
\pages 40--54
\mathnet{http://mi.mathnet.ru/adm530}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3431950}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000378728700005}
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  • https://www.mathnet.ru/eng/adm/v20/i1/p40
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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