Further Combinatorics and Applications of Two-Toned Tilings
Combinatorics
2020-01-31 v1
Abstract
Integer compositions, integer partitions, Fibonacci numbers, and generalizations of these have recently been shown to be interconnected via two-toned tilings of horizontal grids. In this article, we present refinements of two-toned tilings, describe functions which analyze them, and apply these to generalizations of integer compositions and partitions which interpolate between the two.
Keywords
Cite
@article{arxiv.2001.11089,
title = {Further Combinatorics and Applications of Two-Toned Tilings},
author = {Robert Davis and Greg Simay},
journal= {arXiv preprint arXiv:2001.11089},
year = {2020}
}
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22 pages