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MathNet 2006 — Part 04 Question 147

Math Olympiad Vault · MathNet 2006 — Part 04

Question 147

Compute
$$
\sum_{n_{60}=0}^{2} \sum_{n_{59}=0}^{n_{60}} \cdots \sum_{n_{2}=0}^{n_{3}} \sum_{n_{1}=0}^{n_{2}} \sum_{n_{0}=0}^{n_{1}} 1
$$