Connecting the Stirling numbers and $k$-bonacci sums
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916337065918464 |
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| author | Dombrowski, Muhammad Adam |
| author_facet | Dombrowski, Muhammad Adam |
| contents | This paper proves why the Stirling numbers show up in a experimentally determined formula for the $k$-bonaccis. We develop a bijection between a previously determined summation formula for $k$-bonaccis and an experimentally determined formula, proven algebraically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18355 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Connecting the Stirling numbers and $k$-bonacci sums Dombrowski, Muhammad Adam Combinatorics This paper proves why the Stirling numbers show up in a experimentally determined formula for the $k$-bonaccis. We develop a bijection between a previously determined summation formula for $k$-bonaccis and an experimentally determined formula, proven algebraically. |
| title | Connecting the Stirling numbers and $k$-bonacci sums |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2407.18355 |