A new family of positive integers
Combinatorics
2007-05-23 v2
Abstract
Let n,p,k be three positive integers. We prove that the numbers binomial (n,k) 3F2 (1-k, -p, p-n ; 1, 1-n ; 1) are positive integers which generalize the classical binomial coefficients. We give two generating functions for these integers, and a straightforward application.
Keywords
Cite
@article{arxiv.math/0210208,
title = {A new family of positive integers},
author = {Michel Lassalle},
journal= {arXiv preprint arXiv:math/0210208},
year = {2007}
}
Comments
Enlarged version, LaTeX, 7 pages