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A190291
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Number of intervals in the weak (Bruhat) order of the symmetric group S_n that are distributive lattices.
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0
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OFFSET
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1,2
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COMMENTS
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The intervals [u,v] in the weak order that are distributive lattices are characterized by Stembridge. They are the intervals such that u^{-1}.v is fully commutative, i.e., avoids the pattern 321.
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LINKS
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EXAMPLE
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Example: for n=3 there are six 1-element intervals, six 2-element intervals, and four intervals that are 3-element chains, for a total of 16.
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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