Proof of Sun's conjecture on the divisibility of certain binomial sums

被引：0

作者：

Guo, Victor J. W. ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2013年 / 20卷 / 04期

关键词：

congruences; binomial coefficients; super Catalan numbers; Stirling's formula;

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 prove the following result conjectured by Z.-W. Sun: (2n - 1) ((3n)(n)) vertical bar Sigma(n)(k=0)((6k)(3k))((3k)(k))((6(n-k))(3(n-k)))((3(n-k))(n-k)) by showing that the left-hand side divides each summand on the right-hand side.

引用

页数：5

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