A sufficient condition for $(\alpha, \beta)$ Somos $4$ Hankel determinants
Combinatorics
2023-06-16 v2
Abstract
By using Sulanke-Xin continued fractions method, Xin proposed a recursion system to solve the Somos 4 Hankel determinant conjecture. We find Xin's recursion system indeed give a sufficient condition for Somos sequences. This allows us to prove 4 conjectures of Barry on Somos sequences in a unified way.
Cite
@article{arxiv.2305.05995,
title = {A sufficient condition for $(\alpha, \beta)$ Somos $4$ Hankel determinants},
author = {Ying Wang and Zihao Zhang},
journal= {arXiv preprint arXiv:2305.05995},
year = {2023}
}