Given $$ E_{n,k} = \begin{cases} 0 & \text{ if } n \leq k \\ n & \text{ if } k = 0 \\ \sum_{i=0}^{n-1} \dfrac{1}{n} \cdot E_{i,k-1} & \text{ otherwise } \end{cases} $$ I wonder is there a closed form for this recurrence that I'm not aware of?
2026-04-01 00:06:45.1775002005
Is there a closed form for this recurrence?
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