English

A note on number triangles that are almost their own production matrix

Combinatorics 2018-04-19 v1

Abstract

We characterize a family of number triangles whose production matrices are closely related to the original number triangle. We study a number of such triangles that are of combinatorial significance. For a specific subfamily, these triangles relate to sequences that have interesting convolution recurrences and continued fraction generating functions.

Keywords

Cite

@article{arxiv.1804.06801,
  title  = {A note on number triangles that are almost their own production matrix},
  author = {Paul Barry},
  journal= {arXiv preprint arXiv:1804.06801},
  year   = {2018}
}

Comments

12 pages

R2 v1 2026-06-23T01:27:48.055Z