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- W1963695931 abstract "To flatten a set partition (with apologies to Mathematica ® ) means to form a permutation by erasing the dividers between its blocks. Of course, the result depends on how the blocks are listed. For the usual listing—increasing entries in each block and blocks arranged in increasing order of their first entries—we count the partitions of [ n ] whose flattening avoids a single 3-letter pattern. Five counting sequences arise: a null sequence, the powers of 2, the Fibonacci numbers, the Catalan numbers, and the binomial transform of the Catalan numbers." @default.
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- W1963695931 date "2009-06-01" @default.
- W1963695931 modified "2023-09-26" @default.
- W1963695931 title "Pattern avoidance in “flattened” partitions" @default.
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- W1963695931 doi "https://doi.org/10.1016/j.disc.2008.11.019" @default.
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