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Mathematics  2007 

Proof of the Somos-4 Hankel Determinants Conjecture

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Abstract:

By considering the fundamental equation $x=y-y^2=z-z^3$, 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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