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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2015 |
| Main Authors: | , , , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154756 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-154756 |
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Catarino, P. Vasco, P. Campos, H. Aires, A.P. Borges, A. 2019-06-15T20:00:27Z 2019-06-15T20:00:27Z 2015 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. https://nasplib.isofts.kiev.ua/handle/123456789/154756 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics New families of Jacobsthal and Jacobsthal-Lucas numbers Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
New families of Jacobsthal and Jacobsthal-Lucas numbers |
| spellingShingle |
New families of Jacobsthal and Jacobsthal-Lucas numbers Catarino, P. Vasco, P. Campos, H. Aires, A.P. Borges, A. |
| 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 |
| author |
Catarino, P. Vasco, P. Campos, H. Aires, A.P. Borges, A. |
| author_facet |
Catarino, P. Vasco, P. Campos, H. Aires, A.P. Borges, A. |
| publishDate |
2015 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT catarinop newfamiliesofjacobsthalandjacobsthallucasnumbers AT vascop newfamiliesofjacobsthalandjacobsthallucasnumbers AT camposh newfamiliesofjacobsthalandjacobsthallucasnumbers AT airesap newfamiliesofjacobsthalandjacobsthallucasnumbers AT borgesa newfamiliesofjacobsthalandjacobsthallucasnumbers |
| first_indexed |
2025-12-07T20:35:22Z |
| last_indexed |
2025-12-07T20:35:22Z |
| _version_ |
1850883150096367616 |