English

Palindromic and Colored Superdiagonal Compositions

Combinatorics 2021-01-20 v1

Abstract

A superdiagonal composition is one in which the ii-th part or summand is of size greater than or equal to ii. 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.

Keywords

Cite

@article{arxiv.2101.07733,
  title  = {Palindromic and Colored Superdiagonal Compositions},
  author = {Jazmín Mantilla and Wilson Olaya-León and José L. Ramírez},
  journal= {arXiv preprint arXiv:2101.07733},
  year   = {2021}
}

Comments

2 figures

R2 v1 2026-06-23T22:19:24.066Z