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- W2949394417 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.
- W2949394417 created "2019-06-27" @default.
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- W2949394417 date "2008-02-15" @default.
- W2949394417 modified "2023-09-27" @default.
- W2949394417 title "Pattern avoidance in flattened partitions" @default.
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