English

On the halves of a Riordan array and their antecedents

Combinatorics 2019-07-02 v2

Abstract

Every Riordan array has what we call a horizontal half and a vertical half. These halves of a Riordan array have been studied separately before. Here, we place them in a common context, showing that one may be obtained from the other. We also ask and answer the question: given a Riordan array, when is it the half (either horizontal of vertical) of a Riordan array?

Keywords

Cite

@article{arxiv.1906.06373,
  title  = {On the halves of a Riordan array and their antecedents},
  author = {Paul Barry},
  journal= {arXiv preprint arXiv:1906.06373},
  year   = {2019}
}

Comments

19 pages, extended from first version