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Triangle read by rows: T(n,k) is the number of graphs with n vertices and k acyclic orientations.
0

%I #30 Jan 02 2016 19:19:12

%S 1,1,1,1,1,0,1,0,1,1,1,0,2,0,1,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,

%T 1,0,2,0,1,0,3,0,0,0,2,0,1,0,3,0,1,0,0,0,0,0,4,0,0,0,1,0,1,0,0,0,0,0,

%U 3,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0

%N Triangle read by rows: T(n,k) is the number of graphs with n vertices and k acyclic orientations.

%C Row sums give A000088.

%H FindStat - Combinatorial Statistic Finder, <a href="http://www.findstat.org/StatisticsDatabase/St000269">The number of acyclic orientations of a graph</a>.

%e Triangle begins:

%e 1,

%e 1,

%e 1,1,

%e 1,1,0,1,0,1,

%e 1,1,0,2,0,1,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,

%e ...

%Y Cf. A000088.

%K nonn,tabf

%O 0,13

%A _Christian Stump_, Oct 15 2015