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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). 1
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,26

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).

LINKS

Table of n, a(n) for n=0..99.

CROSSREFS

Cf. A138352, A136868, A143841.

Sequence in context: A273107 A194329 A321749 * A092876 A187360 A334368

Adjacent sequences:  A143839 A143840 A143841 * A143843 A143844 A143845

KEYWORD

nonn,tabl

AUTHOR

Benoit Jubin, Sep 02 2008

STATUS

approved

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Last modified December 6 20:22 EST 2021. Contains 349567 sequences. (Running on oeis4.)