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A143842 Table read by antidiagonals: T(n,k) is the number of strongly connected directed multigraphs with loops with n arcs and k vertices, which are transitive (the existence of a path between two points implies the existence of an arc between those two points).

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%I A143842 #2 Mar 31 2012 10:31:22
%S A143842 1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,2,1,0,1,1,1,1,2,3,
%T A143842 1,0,1,1,1,1,2,3,7,1,0,1,1,1,1,2,3,7,11,1,0,1,1,1,1,2,3,7,11,20,1,0,1,
%U A143842 1,1,1,2,3,7,11,20,29,1,0,1,1,1,1,2,3,7,11,20,30,45,1,0,1,1,1,1,2,3,7,11,20
%N A143842 Table read by antidiagonals: T(n,k) is the number of strongly connected directed multigraphs with loops with n arcs and k vertices, which are transitive (the existence of a path between two points implies the existence of an arc between those two points).
%C A143842 Partial sums of the rows of A139625, i.e., T(n,k) = sum(T139625(n,p),p=0..k).
%C A143842 If k>=floor(sqrt(n)), T(n,k) = A139630(n).
%Y A143842 Cf. A138352, A136868, A143841.
%K A143842 nonn,tabl
%O A143842 0,26
%A A143842 _Benoit Jubin_, Sep 02 2008