The Reciprocal Pascal Matrix
Combinatorics
2014-05-27 v1 Number Theory
Abstract
The reciprocal Pascal matrix is the Hadamard inverse of the symmetric Pascal matrix. We show that the ordinary matrix inverse of the reciprocal Pascal matrix has integer elements. The proof uses two factorizations of the matrix of super Catalan numbers.
Keywords
Cite
@article{arxiv.1405.6315,
title = {The Reciprocal Pascal Matrix},
author = {Thomas M. Richardson},
journal= {arXiv preprint arXiv:1405.6315},
year = {2014}
}