The pod function and its connection with other partition functions
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913212399616000 |
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| author | Nath, Hemjyoti |
| author_facet | Nath, Hemjyoti |
| contents | The number of partitions of $n$ wherein odd parts are distinct and even parts are unrestricted, often denoted by $pod(n)$. In this paper, we provide linear recurrence relations for $pod(n)$, and the connections of $pod(n)$ with other partition functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09374 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The pod function and its connection with other partition functions Nath, Hemjyoti Combinatorics Number Theory 2020 Mathematics subject classification 11P81, 11P83 The number of partitions of $n$ wherein odd parts are distinct and even parts are unrestricted, often denoted by $pod(n)$. In this paper, we provide linear recurrence relations for $pod(n)$, and the connections of $pod(n)$ with other partition functions. |
| title | The pod function and its connection with other partition functions |
| topic | Combinatorics Number Theory 2020 Mathematics subject classification 11P81, 11P83 |
| url | https://arxiv.org/abs/2401.09374 |