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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| Datum: | 2015 |
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| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2015
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/98 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-982015-11-10T19:25:54Z New families of Jacobsthal and Jacobsthal-Lucas numbers Catarino, Paula Vasco, Paulo Campos, Helena Aires, Ana Paula Borges, Anabela Jacobsthal numbers, Jacobsthal-Lucas numbers, Binet formula, Generating matrix, Generating function 11B37, 11B83, 05A15 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. Lugansk National Taras Shevchenko University 2015-11-09 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/98 Algebra and Discrete Mathematics; Vol 20, No 1 (2015): A special issue 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/98/28 Copyright (c) 2015 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2015-11-10T19:25:54Z |
| collection |
OJS |
| language |
English |
| topic |
Jacobsthal numbers Jacobsthal-Lucas numbers Binet formula Generating matrix Generating function 11B37 11B83 05A15 |
| spellingShingle |
Jacobsthal numbers Jacobsthal-Lucas numbers Binet formula Generating matrix Generating function 11B37 11B83 05A15 Catarino, Paula Vasco, Paulo Campos, Helena Aires, Ana Paula Borges, Anabela New families of Jacobsthal and Jacobsthal-Lucas numbers |
| topic_facet |
Jacobsthal numbers Jacobsthal-Lucas numbers Binet formula Generating matrix Generating function 11B37 11B83 05A15 |
| format |
Article |
| author |
Catarino, Paula Vasco, Paulo Campos, Helena Aires, Ana Paula Borges, Anabela |
| author_facet |
Catarino, Paula Vasco, Paulo Campos, Helena Aires, Ana Paula Borges, Anabela |
| author_sort |
Catarino, Paula |
| 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 |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2015 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/98 |
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2025-12-02T15:47:02Z |
| last_indexed |
2025-12-02T15:47:02Z |
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1850412201358131200 |