A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence
We give divisibility properties of the generalized Fibonacci sequence by matrix methods. We also present new recursive identities for the generalized Fibonacci and Lucas sequences.
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/829535 |
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| _version_ | 1849685951772622848 |
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| author | Aynur Yalçiner |
| author_facet | Aynur Yalçiner |
| author_sort | Aynur Yalçiner |
| collection | DOAJ |
| description | We give divisibility properties of the generalized Fibonacci sequence by matrix methods. We also present new recursive identities for the generalized Fibonacci and Lucas sequences. |
| format | Article |
| id | doaj-art-bab65171906f4ed99f0b72a1d5f3bc5c |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-bab65171906f4ed99f0b72a1d5f3bc5c2025-08-20T03:22:53ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/829535829535A Matrix Approach for Divisibility Properties of the Generalized Fibonacci SequenceAynur Yalçiner0Department of Mathematics, Science Faculty, Selcuk University, 42075 Konya, TurkeyWe give divisibility properties of the generalized Fibonacci sequence by matrix methods. We also present new recursive identities for the generalized Fibonacci and Lucas sequences.http://dx.doi.org/10.1155/2013/829535 |
| spellingShingle | Aynur Yalçiner A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence Discrete Dynamics in Nature and Society |
| title | A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence |
| title_full | A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence |
| title_fullStr | A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence |
| title_full_unstemmed | A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence |
| title_short | A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence |
| title_sort | matrix approach for divisibility properties of the generalized fibonacci sequence |
| url | http://dx.doi.org/10.1155/2013/829535 |
| work_keys_str_mv | AT aynuryalciner amatrixapproachfordivisibilitypropertiesofthegeneralizedfibonaccisequence AT aynuryalciner matrixapproachfordivisibilitypropertiesofthegeneralizedfibonaccisequence |