期刊论文详细信息
Electronic Journal Of Combinatorics | |
Products and Sums Divisible by Central Binomial Coefficients | |
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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【 预 览 】
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