Question 64
Find an explicit, closed form formula for
$$
\sum_{k=1}^{n} \frac{k \cdot(-1)^{k} \cdot\binom{n}{k}}{n+k+1}
$$
$$
\sum_{k=1}^{n} \frac{k \cdot(-1)^{k} \cdot\binom{n}{k}}{n+k+1}
$$
MathNet 2007-part-03 — 185 problems (EN–VI) Question 64
Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)