Some 2-adic conjectures concerning polyomino tilings of Aztec diamonds

Fuente: arXiv
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Main Author: Propp, James
Format: Preprint
Published: 2022
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author Propp, James
author_facet Propp, James
contents For various sets of tiles, we count the ways to tile an Aztec diamond of order $n$ using tiles from that set. The resulting function $f(n)$ often has interesting behavior when one looks at $n$ and $f(n)$ modulo powers of 2.
format Preprint
id arxiv_https___arxiv_org_abs_2204_00158
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Some 2-adic conjectures concerning polyomino tilings of Aztec diamonds
Propp, James
Combinatorics
52C20, 05A99
For various sets of tiles, we count the ways to tile an Aztec diamond of order $n$ using tiles from that set. The resulting function $f(n)$ often has interesting behavior when one looks at $n$ and $f(n)$ modulo powers of 2.
title Some 2-adic conjectures concerning polyomino tilings of Aztec diamonds
topic Combinatorics
52C20, 05A99
url https://arxiv.org/abs/2204.00158