Proof of the Somos-4 Hankel Determinants Conjecture

Details Proof of the Somos-4 Hankel Determinants Conjecture Proof of the Somos-4 Hankel Determinants Conjecture

2007-12-06

arxiv.org/abs/0712.0933v1

Mathematics

Combinatorics

3 pages

Scientific paper

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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