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

0,6

Comments

Row sums give A000112.

Links

Table of n, a(n) for n=0..101.

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

Example

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,
...

Crossrefs

Cf. A000112.

Sequence in context: A109708 A035468 A369311 * A051777 A262709 A107628

Adjacent sequences: A263857 A263858 A263859 * A263861 A263862 A263863

Keyword

nonn,tabf

Author

Christian Stump, Oct 28 2015

Status

approved