A263860 Triangle read by rows: T(n,k) (n>=0, k>=1) is the number of posets with n elements and k linear extensions.

1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 3, 2, 2, 1, 3, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4, 3, 5, 3, 7, 2, 5, 2, 4, 1, 4, 0, 2, 2, 2, 0, 2, 0, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0

Offset: 0

Author

Christian Stump, Oct 28 2015

Keywords

• nonn
• tabf

Comments

Row sums give A000112.

Examples

			Triangle begins:
1,
1,
1,1,
1,2,1,0,0,1,
1,3,2,2,1,3,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,
...
		

Links

• FindStat - Combinatorial Statistic Finder, The number of linear extensions of a poset.

Crossrefs

Cf. A000112.