91 citations · 698 across the 49 of their papers we have counts for
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math.CO2021
Casting light on shadow Somos sequences
Andrew N. W. Hone
Recently Ovsienko and Tabachnikov considered extensions of Somos and Gale-Robinson sequences, defined over the algebra of dual numbers. Ovsienko used the same idea to construct so-…
math.CO2019★ 2 cited
Cluster algebras and discrete integrability
Andrew N. W. Hone, Philipp Lampe, Theodoros E. Kouloukas
Cluster algebras are a class of commutative algebras whose generators are defined by a recursive process called mutation. We give a brief introduction to cluster algebras, and expl…
math.CO2016
On the general solution of the Heideman-Hogan family of recurrences
Andrew N. W. Hone, Chloe Ward
We consider a family of nonlinear rational recurrences of odd order which was introduced by Heideman and Hogan. All of these recurrences have the Laurent property, implying that fo…