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For questions that explicitly reference the binomial coefficients, Pascal's Triangle, and Binomial identities.

17 votes
1 answer
3k views

Prove that expression is integer

Numerical experiments suggest that $\binom{2m}{m + k}\cdot\frac{3m - 1 - 2k^2}{2m - 1}$ is integer for all $-m \le k\le +m$. It means that expression evaluation could be implemented very efficiently, …