Proof of the Somos-4 Hankel Determinants Conjecture
Abstract
By considering the fundamental equation x=y-y2=z-z3, Somos conjectured that the Hankel determinants for the generating series y(z) are the Somos-4 numbers. We prove this conjecture by using the quadratic transformation for Hankel determinants of Sulanke and Xin.
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