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.
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页数：15
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