English

Factorizations related to the reciprocal Pascal matrix

Combinatorics 2015-02-24 v1

Abstract

The reciprocal Pascal matrix has entries (i+jj)1\binom{i+j}{j}^{-1}. Explicit formullae for its LU-decomposition, the LU-decomposition of its inverse, and some related matrices are obtained. For all results, qq-analogues are also presented.

Keywords

Cite

@article{arxiv.1502.06333,
  title  = {Factorizations related to the reciprocal Pascal matrix},
  author = {Helmut Prodinger},
  journal= {arXiv preprint arXiv:1502.06333},
  year   = {2015}
}
R2 v1 2026-06-22T08:35:10.937Z