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3

Part of 2000 Moldova Team Selection Test

Problems(1)

Evaluate the sum

Source:

6/23/2009
For each positive integer n n, evaluate the sum \sum_{k\equal{}0}^{2n}(\minus{}1)^{k}\frac{\binom{4n}{2k}}{\binom{2n}{k}}
functionalgebrapolynomialintegrationtrigonometrycalculusprobability