Statistics for 3-letter patterns with repetitions in compositions

A composition $\pi = \pi_1 \pi_2 \cdots \pi_m$ of a positive integer $n$ is an ordered collection of one or more positive integers whose sum is $n$. The number of summands, namely $m$, is called the number of parts of $\pi$. Using linear algebra, we determine formulas for generating functions that c...

Full description

Bibliographic Details
Main Authors: Armend Shabani, Rexhep Gjergji
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2016-05-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2156/pdf