A005016 Certain subgraphs of a directed graph.

1, 1, 3, 15, 159, 3903, 214143, 25098495, 6110517759, 3040867308543, 3064498377754623, 6220489664197758975, 25354161321592779612159, 207142125428402158677213183, 3388838467537660347660899221503

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

References

• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• E. Andresen and K. Kjeldsen, On certain subgraphs of a complete transitively directed graph, Discrete Math. 14 (1976), no. 2, 103-119.
• William T. Dugan, On the f-vectors of flow polytopes for the complete graph, Sém. Lotharingien Comb., Proc. 36th Conf. Formal Power Series Alg. Comb. (2024) Vol. 91B, Art. No. 101. See p. 3.
• Hsien-Kuei Hwang, Emma Yu Jin, and Michael J. Schlosser, Asymptotics and statistics on Fishburn Matrices: dimension distribution and a conjecture of Stoimenow, arXiv:2012.13570 [math.CO], 2020.

Crossrefs

Cf. A005321.

Formula

G.f.: Sum(x^n*Product((2^i-1)/(1+(2^i-2)*x),i = 1 .. n),n = 0 .. infinity). - Vladeta Jovovic, Mar 10 2008

Extensions

More terms from Vladeta Jovovic, Mar 10 2008

a(0), a(14) from Max Alekseyev, May 04 2010