Hankel determinants for convolution powers of Motzkin numbers
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866929735535165440 |
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| author | Wang, Ying Zhang, Yingrui |
| author_facet | Wang, Ying Zhang, Yingrui |
| contents | We evaluate the Hankel determinants of the convolution powers of Motzkin numbers for $r\leq 27$ by finding shifted periodic continued fractions, which arose in application of Sulanke and Xin's continued fraction method. We also conjecture some polynomial characterization of these determinants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_21050 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hankel determinants for convolution powers of Motzkin numbers Wang, Ying Zhang, Yingrui Combinatorics Number Theory We evaluate the Hankel determinants of the convolution powers of Motzkin numbers for $r\leq 27$ by finding shifted periodic continued fractions, which arose in application of Sulanke and Xin's continued fraction method. We also conjecture some polynomial characterization of these determinants. |
| title | Hankel determinants for convolution powers of Motzkin numbers |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2502.21050 |