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