2011-24 (n-k) choose k

Evaluate the sum \[ \sum_{k=0}^{[n/2]} (-4)^{n-k} \binom{n-k}{k} ,\] where [x] denotes the greatest integer less than or equal to x.

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2011-24 (n-k) choose k, 4.3 out of 5 based on 10 ratings