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Extensions of set partitions and permutations. (English) Zbl 1439.11079

Summary: Extensions of a set partition obtained by imposing bounds on the size of the parts is examined. Arithmetical and combinatorial properties of these sequences are established.

MSC:

11B83 Special sequences and polynomials
11B73 Bell and Stirling numbers
05A15 Exact enumeration problems, generating functions

Keywords:

set partitions

References:

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