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W1991970577 abstract "A set partition is said to be (k,d)-noncrossing if it avoids the pattern 12⋯k12⋯d. We find an explicit formula for the ordinary generating function of the number of (k,d)-noncrossing partitions of {1,2,…,n} when d=1,2." @default.
W1991970577 created "2016-06-24" @default.
W1991970577 creator A5024416044 @default.
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W1991970577 date "2008-10-01" @default.
W1991970577 modified "2023-09-23" @default.
W1991970577 title "Enumeration of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si6.gif overflow=scroll><mml:mo stretchy=false>(</mml:mo><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:math>-noncrossing partitions" @default.
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W1991970577 doi "https://doi.org/10.1016/j.disc.2007.08.068" @default.
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