English

Three \'Etudes on a sequence transformation pipeline

Combinatorics 2018-03-20 v1

Abstract

We study a sequence transformation pipeline that maps certain sequences with rational generating functions to permutation-based sequence families of combinatorial significance. Many of the number triangles we encounter can be related to simplicial objects such as the associahedron and the permutahedron. The linkages between these objects is facilitated by the use of the previously introduced T\mathcal{T} transform.

Keywords

Cite

@article{arxiv.1803.06408,
  title  = {Three \'Etudes on a sequence transformation pipeline},
  author = {Paul Barry},
  journal= {arXiv preprint arXiv:1803.06408},
  year   = {2018}
}

Comments

41 pages

R2 v1 2026-06-23T00:55:57.999Z