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).

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, 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, 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

Offset: 0

Author

Benoit Jubin, Sep 02 2008

Keywords

• nonn
• tabl

Comments

Partial sums of the rows of A139625, i.e., T(n,k) = sum(T139625(n,p),p=0..k).

If k>=floor(sqrt(n)), T(n,k) = A139630(n).

Crossrefs

Cf. A138352, A136868, A143841.