|
%I #7 Oct 31 2015 14:40:31
%S 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,
%T 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,
%U 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
%N Triangle read by rows: T(n,k) (n>=0, k>=1) is the number of posets with n elements and k linear extensions.
%C Row sums give A000112.
%H FindStat - Combinatorial Statistic Finder, <a href="http://www.findstat.org/StatisticsDatabase/St000100">The number of linear extensions of a poset</a>.
%e Triangle begins:
%e 1,
%e 1,
%e 1,1,
%e 1,2,1,0,0,1,
%e 1,3,2,2,1,3,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,
%e ...
%Y Cf. A000112.
%K nonn,tabf
%O 0,6
%A _Christian Stump_, Oct 28 2015
|
