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Enumeration of
stacks of spheres
Lauren Endicott, Russell May and Sienna Shacklette
Vol. 11 (2018), No. 5, 867–875
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Abstract |
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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. |
Keywords
enumerative combinatorics, generating functions
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Mathematical Subject Classification 2010
Primary: 05A15
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Milestones
Received: 11 May 2017
Revised: 14 September 2017
Accepted: 17 September 2017
Published: 2 April 2018
Communicated by Glenn Hurlbert
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Authors |
| Lauren Endicott | |
| The Craft Academy for Excellence in
Science and Mathematics Morehead State University Morehead, KY 40351 United States |
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| Russell May | |
| Department of Mathematics and
Physics Morehead State University Morehead, KY 40351 United States |
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| Sienna Shacklette | |
| The Craft Academy for Excellence in
Science and Mathematics Morehead State University Morehead, KY 40351 United States |
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