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A263861 Triangle read by rows: T(n,k) (n>=0, k>=n+1) is the number of posets with n elements and whose order polytope has k facets. 0
1, 1, 1, 1, 1, 3, 1, 1, 7, 6, 2, 1, 13, 26, 17, 4, 2, 1, 22, 85, 112, 60, 27, 7, 3, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,6
COMMENTS
Row sums give A000112.
The order polytope of a poset P is given by all points in the unit cube [0,1]^P such that xp<xq for all p<q in P.
LINKS
FindStat - Combinatorial Statistic Finder, The number of facets in the order polytope of this poset.
Richard Stanley, Two poset polytopes, Discrete & Computational Geometry 1 (1986), DOI: 10.1007/BF02187680.
EXAMPLE
Triangle begins:
1,
1,
1,1,
1,3,1,
1,7,6,2,
1,13,26,17,4,2,
1,22,85,112,60,27,7,3,1,
...
CROSSREFS
Cf. A000112.
Sequence in context: A185982 A263858 A263862 * A357940 A133800 A146900
KEYWORD
nonn,tabf,more
AUTHOR
Christian Stump, Oct 28 2015
STATUS
approved

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Last modified March 18 21:02 EDT 2024. Contains 370951 sequences. (Running on oeis4.)