Explicit solution of system of two higher-order recurrences
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917755203092480 |
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| author | Németh, László Szalay, László |
| author_facet | Németh, László Szalay, László |
| contents | We give a method to determine an explicit solution to a system of two inhomogeneous linear recursive sequences of higher order. Our approach can be used efficiently in solving certain combinatorial problems. We finish the paper by considering a tiling problem with black and white dominoes, and we use the method as a demonstration to find the solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12196 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Explicit solution of system of two higher-order recurrences Németh, László Szalay, László Number Theory Combinatorics 11B37, 05B45, 52C20 We give a method to determine an explicit solution to a system of two inhomogeneous linear recursive sequences of higher order. Our approach can be used efficiently in solving certain combinatorial problems. We finish the paper by considering a tiling problem with black and white dominoes, and we use the method as a demonstration to find the solution. |
| title | Explicit solution of system of two higher-order recurrences |
| topic | Number Theory Combinatorics 11B37, 05B45, 52C20 |
| url | https://arxiv.org/abs/2408.12196 |