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added 4 characters in body

edited Mar 15, 2017 at 16:06

Divisibility of a binomial sequence

Convincing numerical evidence prompts me to ask:

Question. Is $\sum_{k=0}^n\sum_{j=0}^k\binom{k}j^2\binom{2j}j(2j+1)^2$ divisible by $(n+1)^2$?

asked Mar 14, 2017 at 2:22