Open Access
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


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.


Received: 11 May 2017; Revised: 14 September 2017; Accepted: 17 September 2017; Published: 2018
First available in Project Euclid: 12 April 2018

zbMATH: 1385.05016
MathSciNet: MR3784032
Digital Object Identifier: 10.2140/involve.2018.11.867

Primary: 05A15

Keywords: Enumerative combinatorics , generating functions

Rights: Copyright © 2018 Mathematical Sciences Publishers

Vol.11 • No. 5 • 2018
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