Hankel determinants for convolution powers of Motzkin numbers
Combinatorics
2025-03-03 v1 Number Theory
Abstract
We evaluate the Hankel determinants of the convolution powers of Motzkin numbers for 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.
Keywords
Cite
@article{arxiv.2502.21050,
title = {Hankel determinants for convolution powers of Motzkin numbers},
author = {Ying Wang and Yingrui Zhang},
journal= {arXiv preprint arXiv:2502.21050},
year = {2025}
}