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Omni-MATH / Let S₀=0 and let S_(k) equal a₁+2a₂+…+ka_(k) for k≥1. Define a_(i) to be 1 if S_(i−1)<i and -1 if S_(i−1)≥i. What is the largest k≤2010 such that S_(k)=0? · Discussion

Discussing Let S₀=0 and let S_(k) equal a₁+2a₂+…+ka_(k) for k≥1. Define a_(i) to be 1 if S_(i−1)<i and -1 if S_(i−1)≥i. What is the largest k≤2010 such that S_(k)=0? · Omni-MATH

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