Set partitions with successions and separations

@article{Munagi2005SetPW,
  title={Set partitions with successions and separations},
  author={Augustine O. Munagi},
  journal={Int. J. Math. Mathematical Sciences},
  year={2005},
  volume={2005},
  pages={451-463}
}
Partitions of the set {1,2,…,n} are classified as having successions if a block contains consecutive integers, and separated otherwise. This paper constructs enumeration formulas for such set partitions and some variations using Stirling numbers of the second kind. 

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