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MathNet 2009-part-01 — 175 problems (EN–VI) Question 69

Math Olympiad Vault · MathNet 2009-part-01 — 175 problems (EN–VI)

Question 69

Show that for each integer $n$,
$$
\frac{1}{1+n}\binom{4n+1}{2n}
$$
is an integer.