On r-Jacobsthal and r-Jacobsthal-Lucas Numbers
Recently, Bród introduced a new Jacobsthal-type sequence which is called r-Jacobsthal sequence in current study. After defining the appropriate r-Jacobsthal–Lucas sequence for the r-Jacobsthal sequence, we obtain some properties of these two sequences. For simpler results, we define two new sequence...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2023-03-01
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| Series: | Annales Mathematicae Silesianae |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amsil-2023-0001 |
| _version_ | 1827969013504802816 |
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| author | Bilgici Göksal Bród Dorota |
| author_facet | Bilgici Göksal Bród Dorota |
| author_sort | Bilgici Göksal |
| collection | DOAJ |
| description | Recently, Bród introduced a new Jacobsthal-type sequence which is called r-Jacobsthal sequence in current study. After defining the appropriate r-Jacobsthal–Lucas sequence for the r-Jacobsthal sequence, we obtain some properties of these two sequences. For simpler results, we define two new sequences and examine their properties, too. Finally, we generalize some well-known identities. |
| first_indexed | 2024-04-09T18:31:28Z |
| format | Article |
| id | doaj.art-f42a71e5482d4cb6a7836de0c7e26a65 |
| institution | Directory Open Access Journal |
| issn | 2391-4238 |
| language | English |
| last_indexed | 2024-04-09T18:31:28Z |
| publishDate | 2023-03-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annales Mathematicae Silesianae |
| spelling | doaj.art-f42a71e5482d4cb6a7836de0c7e26a652023-04-11T17:19:07ZengSciendoAnnales Mathematicae Silesianae2391-42382023-03-01371163110.2478/amsil-2023-0001On r-Jacobsthal and r-Jacobsthal-Lucas NumbersBilgici Göksal0Bród Dorota1Elementary Mathematics Education, Kastamonu University, 37200KastamonuTurkeyDepartment of Discrete Mathematics, Faculty of Mathematics and Applied Physics, Rzeszow University of TechnologyPolandRecently, Bród introduced a new Jacobsthal-type sequence which is called r-Jacobsthal sequence in current study. After defining the appropriate r-Jacobsthal–Lucas sequence for the r-Jacobsthal sequence, we obtain some properties of these two sequences. For simpler results, we define two new sequences and examine their properties, too. Finally, we generalize some well-known identities.https://doi.org/10.2478/amsil-2023-0001r-jacobsthal numbersr-jacobsthal–lucas numbersbinet formula11b8311b37 |
| spellingShingle | Bilgici Göksal Bród Dorota On r-Jacobsthal and r-Jacobsthal-Lucas Numbers Annales Mathematicae Silesianae r-jacobsthal numbers r-jacobsthal–lucas numbers binet formula 11b83 11b37 |
| title | On r-Jacobsthal and r-Jacobsthal-Lucas Numbers |
| title_full | On r-Jacobsthal and r-Jacobsthal-Lucas Numbers |
| title_fullStr | On r-Jacobsthal and r-Jacobsthal-Lucas Numbers |
| title_full_unstemmed | On r-Jacobsthal and r-Jacobsthal-Lucas Numbers |
| title_short | On r-Jacobsthal and r-Jacobsthal-Lucas Numbers |
| title_sort | on r jacobsthal and r jacobsthal lucas numbers |
| topic | r-jacobsthal numbers r-jacobsthal–lucas numbers binet formula 11b83 11b37 |
| url | https://doi.org/10.2478/amsil-2023-0001 |
| work_keys_str_mv | AT bilgicigoksal onrjacobsthalandrjacobsthallucasnumbers AT broddorota onrjacobsthalandrjacobsthallucasnumbers |