Colorful Tilings and Permutations
Jonathan Beagley and Lara Pudwell
Department of Mathematics and Statistics
Valparaiso, IN 46383
We study tilings of rectangular and circular arrays with specified sets of
colored rectangular tiles. In particular, we consider rectangular tiles
of arbitrarily large size, but where the number of colors available to
use on a particular tile is determined by its position on the array. While
tiling enumeration is often used to prove identities involving Fibonacci
and Lucas numbers, the tilings we examine yield natural connections with
sets of permutations.
Full version: pdf,
(Concerned with sequences
Received June 29 2021; revised version received November 9 2021.
Published in Journal of Integer Sequences,
November 26 2021.
Journal of Integer Sequences home page