The Euler-Catalan Identity

@article{Rawlings1988TheEI,
  title={The Euler-Catalan Identity},
  author={Don Rawlings},
  journal={Eur. J. Comb.},
  year={1988},
  volume={9},
  pages={53-60}
}
where # A is used to denote the cardinality of a set A. The next result of this type was discovered by Rotem [11]. He showed that the set of (1 E Sn which do not have either 231 or 312 patterns has cardinality 2n -1. And, finally, the definitive solution to the problem is to be found in a recent paper by Simion and Schmidt [12]. Given any set A s; S3, they have determined the number of permutations in Sn which avoid A. In view of the preceding remarks, a natural question arises: Rather than… CONTINUE READING

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