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New families of Jacobsthal and Jacobsthal-Lucas numbers

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.

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Bibliographic Details
Main Authors:	Catarino, P., Vasco, P., Campos, H., Aires, A.P., Borges, A.
Format:	Article
Language:	English
Published:	Інститут прикладної математики і механіки НАН України 2015
Series:	Algebra and Discrete Mathematics
Online Access:	http://dspace.nbuv.gov.ua/handle/123456789/154756
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id	irk-123456789-154756
record_format	dspace
spelling	irk-123456789-1547562019-06-16T01:31:24Z New families of Jacobsthal and Jacobsthal-Lucas numbers Catarino, P. Vasco, P. Campos, H. Aires, A.P. Borges, A. 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. 2015 Article New families of Jacobsthal and Jacobsthal-Lucas numbers / P. Catarino, P. Vasco, H. Campos, A.P. Aires, A. Borges // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 40-54 . — Бібліогр.: 21 назв. — англ. 1726-3255 2010 MSC:11B37, 11B83, 05A15. http://dspace.nbuv.gov.ua/handle/123456789/154756 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution	Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection	DSpace DC
language	English
description	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.
format	Article
author	Catarino, P. Vasco, P. Campos, H. Aires, A.P. Borges, A.
spellingShingle	Catarino, P. Vasco, P. Campos, H. Aires, A.P. Borges, A. New families of Jacobsthal and Jacobsthal-Lucas numbers Algebra and Discrete Mathematics
author_facet	Catarino, P. Vasco, P. Campos, H. Aires, A.P. Borges, A.
author_sort	Catarino, P.
title	New families of Jacobsthal and Jacobsthal-Lucas numbers
title_short	New families of Jacobsthal and Jacobsthal-Lucas numbers
title_full	New families of Jacobsthal and Jacobsthal-Lucas numbers
title_fullStr	New families of Jacobsthal and Jacobsthal-Lucas numbers
title_full_unstemmed	New families of Jacobsthal and Jacobsthal-Lucas numbers
title_sort	new families of jacobsthal and jacobsthal-lucas numbers
publisher	Інститут прикладної математики і механіки НАН України
publishDate	2015
url	http://dspace.nbuv.gov.ua/handle/123456789/154756
citation_txt	New families of Jacobsthal and Jacobsthal-Lucas numbers / P. Catarino, P. Vasco, H. Campos, A.P. Aires, A. Borges // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 40-54 . — Бібліогр.: 21 назв. — англ.
series	Algebra and Discrete Mathematics
work_keys_str_mv	AT catarinop newfamiliesofjacobsthalandjacobsthallucasnumbers AT vascop newfamiliesofjacobsthalandjacobsthallucasnumbers AT camposh newfamiliesofjacobsthalandjacobsthallucasnumbers AT airesap newfamiliesofjacobsthalandjacobsthallucasnumbers AT borgesa newfamiliesofjacobsthalandjacobsthallucasnumbers
first_indexed	2023-05-20T17:45:18Z
last_indexed	2023-05-20T17:45:18Z
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New families of Jacobsthal and Jacobsthal-Lucas numbers

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