A263862 Triangle read by rows: T(n,k) (n>=0, k>=n+1) is the number of posets with n elements and whose chain polytope has k facets.

1, 1, 1, 1, 1, 3, 1, 1, 7, 6, 2, 1, 13, 25, 18, 4, 2, 1, 22, 80, 111, 60, 32, 7, 4, 1

Offset

0,6

Comments

Row sums give A000112.

Is this the same as A263858? - R. J. Mathar, Nov 03 2015

Links

Table of n, a(n) for n=0..25.

FindStat - Combinatorial Statistic Finder, The number of facets in the chain polytope of the poset.

Example

Triangle begins:
1,
1,
1,1,
1,3,1,
1,7,6,2,
1,13,25,18,4,2,
1,22,80,111,60,32,7,4,1,
...

Crossrefs

Cf. A000112.

Sequence in context: A185982 A380169 A263858 * A263861 A357940 A133800

Adjacent sequences: A263859 A263860 A263861 * A263863 A263864 A263865

Keyword

nonn,tabf,more

Author

Christian Stump, Oct 28 2015

Status

approved