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arXiv · 2305.05995

A sufficient condition for $(α, β)$ Somos $4$ Hankel determinants

Ying Wang·Zihao Zhang
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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 $(α, β)$ Somos $4$ sequences. This allows us to prove 4 conjectures of Barry on $(α, β)$ Somos $4$ sequences in a unified way.

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Ying Wang, Zihao Zhang. 2023-06-15. A sufficient condition for $(α, β)$ Somos $4$ Hankel determinants. https://arxiv.org/abs/2305.05995

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