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MathNet 2018-part-07 — 177 problems (EN–VI) Question 72

Math Olympiad Vault · MathNet 2018-part-07 — 177 problems (EN–VI)

Question 72

Find the value of
$$
\sum_{k=1}^{60} \sum_{n=1}^{k} \frac{n^{2}}{61-2 n}
$$