Nested Sum 60 Variables

2175ExpertCombinatoricsAlgebra

Harvard-MIT Mathematics Tournament

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

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2175ExpertCombinatoricsAlgebra

Harvard-MIT Mathematics Tournament

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

0 students attempted0% solvedRating 2175