Combinatorics of three-Catalan numbers and some positivities
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912431053209600 |
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| author | Rezig, Boualam Ahmia, Moussa |
| author_facet | Rezig, Boualam Ahmia, Moussa |
| contents | We introduce the three-Catalan triangle, highlighting the three-Catalan numbers along with their recurrence relation and combinatorial interpretation, which allows us to establish their log-convexity. Additionally, we prove that the rows of the three-Catalan triangle form a log-concave sequence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03615 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Combinatorics of three-Catalan numbers and some positivities Rezig, Boualam Ahmia, Moussa Combinatorics 05A05, 05A15, 05A19, 05A30 We introduce the three-Catalan triangle, highlighting the three-Catalan numbers along with their recurrence relation and combinatorial interpretation, which allows us to establish their log-convexity. Additionally, we prove that the rows of the three-Catalan triangle form a log-concave sequence. |
| title | Combinatorics of three-Catalan numbers and some positivities |
| topic | Combinatorics 05A05, 05A15, 05A19, 05A30 |
| url | https://arxiv.org/abs/2502.03615 |