On Divisibility of Convolutions of Central Binomial Coefficients

Electronic Journal Of Combinatorics

Mark Roger Sepanski¹ 

关键词: central binomial coefficients;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

Recently, Z. Sun proved that \[ 2(2m+1)\binom{2m}{m} \mid  \binom{6m}{3m}\binom{3m}{m} \] for $m\in\mathbb{Z}_{>0}$. In this paper, we consider a generalization of this result by defining \[ b_{n,k}=\frac{2^{k}\, (n+2k-2)!!}{((n-2)!!\, k!}. \] In this

【 授权许可】

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