The Frobenius number for the triple of the 2-step star numbers
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913513401745408 |
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| author | Komatsu, Takao Goel, Ritika Gupta, Neha |
| author_facet | Komatsu, Takao Goel, Ritika Gupta, Neha |
| contents | In this paper, we give closed form expressions of the Frobenius number for the triple of the $2$-step star numbers $an(n-2) + 1$ for an integer $a \geq 4$. These numbers have been studied from different aspects for some $a$'s. These numbers can also be considered as variations of the well known star numbers of the form $6n(n-1) + 1$. We also give closed form expressions of the Sylvester number (genus) for the triple of the $2$-step star numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14788 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Frobenius number for the triple of the 2-step star numbers Komatsu, Takao Goel, Ritika Gupta, Neha Combinatorics In this paper, we give closed form expressions of the Frobenius number for the triple of the $2$-step star numbers $an(n-2) + 1$ for an integer $a \geq 4$. These numbers have been studied from different aspects for some $a$'s. These numbers can also be considered as variations of the well known star numbers of the form $6n(n-1) + 1$. We also give closed form expressions of the Sylvester number (genus) for the triple of the $2$-step star numbers. |
| title | The Frobenius number for the triple of the 2-step star numbers |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2409.14788 |