Some new binomial sums related to the Catalan triangle

被引：0

作者：

Sun, Yidong ^{[1
]}

Ma, Fei ^{[1
]}

机构：

[1] Dalin Maritime Univ, Dept Math, Dalian 116026, Peoples R China

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2014年 / 21卷 / 01期

关键词：

Catalan number; ballot number; Catalan triangle; PROPER RIORDAN ARRAYS; GENERATING TREES; BALLOT NUMBERS; RENEWAL ARRAYS; IDENTITIES; ENUMERATION; PATTERNS; PATHS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive many new identities on the classical Catalan triangle C = (C-n,C-k)(n >= k >= 0), where [GRAPHICS] are the well-known ballot numbers. The first three types are based on the determinant and the fourth is relied on the permanent of a square matrix. It not only produces many known and new identities involving Catalan numbers, but also provides a new viewpoint on combinatorial triangles.

引用

页数：15

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