whats the connection between Bn(Bell numbers) and Pn (the partition function) ?

CiaraL

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whats the connection between Bn the number of (set) partitions on a set with n elements.
the series is 1,1,2,5,15,52,203
and the integer partition function
this series is 1,1,2,3,5,7,11,15,22,30,42.... ?
 
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