ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F13459 on R1864: Sum of Bell coefficients
F13459
Formulation 2
Let $X$ be a D17: Finite set such that
(i) $\text{Part} X$ be the D2910: Set of proper set partitions for $X$
Then \begin{equation} |\text{Part} X| = \sum_{n = 0}^{|X|} {|X| \brace n} \end{equation}