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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.

%I A263862 #11 Nov 04 2015 03:51:31
%S A263862 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
%N 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.
%C A263862 Row sums give A000112.
%C A263862 Is this the same as A263858? - _R. J. Mathar_, Nov 03 2015
%H A263862 FindStat - Combinatorial Statistic Finder, <a href="http://www.findstat.org/StatisticsDatabase/St000151">The number of facets in the chain polytope of the poset</a>.
%e A263862 Triangle begins:
%e A263862 1,
%e A263862 1,
%e A263862 1,1,
%e A263862 1,3,1,
%e A263862 1,7,6,2,
%e A263862 1,13,25,18,4,2,
%e A263862 1,22,80,111,60,32,7,4,1,
%e A263862 ...
%Y A263862 Cf. A000112.
%K A263862 nonn,tabf,more
%O A263862 0,6
%A A263862 _Christian Stump_, Oct 28 2015