Can the following summation be reduced to any single formula? I tried using a few combinatorial laws such as Pascal's but nothing seems to work.
$$2\sum_{r=0}^{n-k}\binom{n-r}k\binom{k-1}r.$$
Can the following summation be reduced to any single formula? I tried using a few combinatorial laws such as Pascal's but nothing seems to work.
$$2\sum_{r=0}^{n-k}\binom{n-r}k\binom{k-1}r.$$
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