Counting With Irrational Tiles
Combinatorics
2014-08-01 v1
Abstract
We introduce and study the number of tilings of unit height rectangles with irrational tiles. We prove that the class of sequences of these numbers coincides with the class of diagonals of N-rational generating functions and a class of certain binomial multisums. We then give asymptotic applications and establish connections to hypergeometric functions and Catalan numbers.
Keywords
Cite
@article{arxiv.1407.8222,
title = {Counting With Irrational Tiles},
author = {Scott Garrabrant and Igor Pak},
journal= {arXiv preprint arXiv:1407.8222},
year = {2014}
}