%I #2 Mar 31 2012 10:31:22
%S 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 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 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 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 Partial sums of the rows of A139625, i.e., T(n,k) = sum(T139625(n,p),p=0..k).
%C If k>=floor(sqrt(n)), T(n,k) = A139630(n).
%Y Cf. A138352, A136868, A143841.
%K nonn,tabl
%O 0,26
%A _Benoit Jubin_, Sep 02 2008