Sums of $k$-bonacci Numbers
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866911739842396160 |
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| author | Parks, Harold R. Wills, Dean C. |
| author_facet | Parks, Harold R. Wills, Dean C. |
| contents | We give a combinatorial proof of a formula giving the partial sums of the $k$-bonacci sequence as alternating sums of powers of two multiplied by binomial coefficients. As a corollary we obtain a formula for the $k$-bonacci numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_01224 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Sums of $k$-bonacci Numbers Parks, Harold R. Wills, Dean C. Combinatorics Discrete Mathematics We give a combinatorial proof of a formula giving the partial sums of the $k$-bonacci sequence as alternating sums of powers of two multiplied by binomial coefficients. As a corollary we obtain a formula for the $k$-bonacci numbers. |
| title | Sums of $k$-bonacci Numbers |
| topic | Combinatorics Discrete Mathematics |
| url | https://arxiv.org/abs/2208.01224 |