Palindromic and Colored Superdiagonal Compositions
Jazm\'in Mantilla, Wilson Olaya-Le\'on, Jos\'e L. Ram\'irez
TL;DR
This paper investigates palindromic and colored superdiagonal compositions, providing generating functions and explicit formulas involving binomial coefficients and Stirling numbers of the first kind.
Contribution
It introduces new combinatorial formulas and generating functions for palindromic and colored superdiagonal compositions.
Findings
Derived explicit formulas involving binomial coefficients
Developed generating functions for specific composition classes
Connected compositions to Stirling numbers of the first kind
Abstract
A superdiagonal composition is one in which the -th part or summand is of size greater than or equal to . In this paper, we study the number of palindromic superdiagonal compositions and colored superdiagonal compositions. In particular, we give generating functions and explicit combinatorial formulas involving binomial coefficients and Stirling numbers of the first kind.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · Graph theory and applications