On upper bounds of frieze patterns

Fuente: arXiv
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Main Authors: Cheah, Jon, Germain, Antoine de Saint
Format: Preprint
Published: 2024
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author Cheah, Jon
Germain, Antoine de Saint
author_facet Cheah, Jon
Germain, Antoine de Saint
contents In this note, we show that the sequence of maximum values in frieze patterns of type $A_n$ is the sequence of Fibonacci numbers, and that of frieze patterns of type $C_n$ is the sequence of odd Fibonacci numbers.
format Preprint
id arxiv_https___arxiv_org_abs_2407_16717
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On upper bounds of frieze patterns
Cheah, Jon
Germain, Antoine de Saint
Combinatorics
In this note, we show that the sequence of maximum values in frieze patterns of type $A_n$ is the sequence of Fibonacci numbers, and that of frieze patterns of type $C_n$ is the sequence of odd Fibonacci numbers.
title On upper bounds of frieze patterns
topic Combinatorics
url https://arxiv.org/abs/2407.16717