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.

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

Offset: 0

Author

Christian Stump, Oct 28 2015

Keywords

• nonn
• tabf
• more

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

Examples

			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,
...
		

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.

Crossrefs

Cf. A000112.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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