On the number of words of $N=3 \,n$ letters with a three-letter alphabet

Fuente: arXiv
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Main Author: Serra, Pablo
Format: Preprint
Published: 2025
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author Serra, Pablo
author_facet Serra, Pablo
contents In this paper we address the well-known problem of counting the number of $3n$-letter words that can be formed from a three-letter alphabet by decomposing it into four possible cases based on its remainder when divided by three. The solution to the problem also gives us some sums of trinomial coefficients.
format Preprint
id arxiv_https___arxiv_org_abs_2512_22362
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the number of words of $N=3 \,n$ letters with a three-letter alphabet
Serra, Pablo
Combinatorics
In this paper we address the well-known problem of counting the number of $3n$-letter words that can be formed from a three-letter alphabet by decomposing it into four possible cases based on its remainder when divided by three. The solution to the problem also gives us some sums of trinomial coefficients.
title On the number of words of $N=3 \,n$ letters with a three-letter alphabet
topic Combinatorics
url https://arxiv.org/abs/2512.22362