Enumeration of stacks of spheres

Lauren Endicott; Russell May; Sienna Shacklette

doi:10.2140/involve.2018.11.867

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Home > Journals > Involve > Volume 11 > Issue 5 > Article

2018 Enumeration of stacks of spheres

Lauren Endicott, Russell May, Sienna Shacklette

Involve 11(5): 867-875 (2018). DOI: 10.2140/involve.2018.11.867

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Abstract

As a three-dimensional generalization of fountains of coins, we analyze stacks of spheres and enumerate two particular classes, so-called “pyramidal” stacks and “Dominican” stacks. Using the machinery of generating functions, we obtain exact formulas for these types of stacks in terms of the sizes of their bases.

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Lauren Endicott. Russell May. Sienna Shacklette. "Enumeration of stacks of spheres." Involve 11 (5) 867 - 875, 2018. https://doi.org/10.2140/involve.2018.11.867