Does anybody know how to solve the following recurrence? Maybe with generating functions? Any hint?
$t(n) = 1 + \frac{1}{2^{n-1}} \sum_{i=0}^{n-1} {n \choose i} t(i)$
Does anybody know how to solve the following recurrence? Maybe with generating functions? Any hint?
$t(n) = 1 + \frac{1}{2^{n-1}} \sum_{i=0}^{n-1} {n \choose i} t(i)$
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