Abstract
In this paper, we prove the following result conjectured by Z.-W. Sun:$$(2n-1){3n\choose n}|\sum_{k=0}^{n}{6k\choose 3k}{3k\choose k}{6(n-k)\choose 3(n-k)}{3(n-k)\choose n-k}$$by showing that the left-hand side divides each summand on the right-hand side.
Publisher
The Electronic Journal of Combinatorics
Subject
Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics
Cited by
4 articles.
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