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

Published 21 Jan 2013 in math.NT | (1301.4877v1)

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.

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Authors (1)

  1. Victor J. W. Guo 

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