Proofs of two conjectures on Catalan triangle numbers
Combinatorics
2018-06-08 v1 Number Theory
Abstract
We prove two conjectures on sums of products of Catalan triangle numbers, which were originally conjectured by Miana, Ohtsuka, and Romero [Discrete Math. 340 (2017), 2388--2397]. The first one is proved by using Zeilberger's algorithm, and the second one is proved by establishing its -analogue.
Keywords
Cite
@article{arxiv.1806.02685,
title = {Proofs of two conjectures on Catalan triangle numbers},
author = {Victor J. W. Guo and Xiuguo Lian},
journal= {arXiv preprint arXiv:1806.02685},
year = {2018}
}
Comments
15 pages, to appear in J. Difference Equ. Appl