A combinatorial proof of Shapiro's Catalan convolution

被引：5

作者：

Nagy, Gabor V. ^{[1
]}

机构：

[1] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary

来源：

ADVANCES IN APPLIED MATHEMATICS | 2012年 / 49卷 / 3-5期

关键词：

Catalan numbers; Shapiro convolution;

D O I：

10.1016/j.aam.2012.07.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Shapiro proved an elegant convolution formula involving Catalan numbers of even index. This paper gives a combinatorial proof of his formula. In addition, we show that it is equivalent to an alternating convolution formula of central binomial coefficients. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：391 / 396

页数：6