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- W2148229160 abstract "Suppose π=π1π2⋯πn is a partition of size n, represented in its canonical sequential form. We show that the number of partitions of size n so represented having no two adjacent letters the same and avoiding a single pattern of length five is given by the Catalan number Cn−1 in six particular instances. In addition to supplying apparently new combinatorial structures counted by the Catalan numbers, this provides interesting examples of the more general question of enumerating how many members which belong to some class of words satisfying an adjacency requirement avoid a given subsequence pattern." @default.
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- W2148229160 date "2012-10-01" @default.
- W2148229160 modified "2023-09-28" @default.
- W2148229160 title "Catalan numbers and pattern restricted set partitions" @default.
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- W2148229160 doi "https://doi.org/10.1016/j.disc.2012.06.021" @default.
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