Products and Sums Divisible by Central Binomial Coefficients

Electronic Journal Of Combinatorics

Zhi-Wei Sun¹ 

关键词: Central binomial coefficients;    Divisibility;    Congruences;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

In this paper we study products and sums divisible by central binomial coefficients. We show that $$2(2n+1)\binom{2n}n\ \bigg|\ \binom{6n}{3n}\binom{3n}n\ \ \mbox{for all}\ n=1,2,3,\ldots.$$ Also, for any nonnegative integers $k$ and $n$ we have $$\binom

【 授权许可】

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