Article ID Journal Published Year Pages File Type
4625155 Advances in Applied Mathematics 2009 5 Pages PDF
Abstract

By considering the fundamental equation x=y−y2=z−z3, Michael 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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics