English

Combinatorics of positional colored compositions

Combinatorics 2025-11-12 v1

Abstract

We consider colored compositions where only some parts are allowed different colors, depending on their locations in the composition. The counting sequences are obtained through generating functions. Connections to many other combinatorial objects are discussed, with combinatorial arguments provided and generalized for these observations.

Keywords

Cite

@article{arxiv.2511.08529,
  title  = {Combinatorics of positional colored compositions},
  author = {Andrew Li and Hua Wang},
  journal= {arXiv preprint arXiv:2511.08529},
  year   = {2025}
}
R2 v1 2026-07-01T07:32:38.131Z