A259971 - OEIS

%I #13 Jan 08 2021 07:44:32

%S 1,1,1,2,5,3,10,40,51,21,122,644,1236,1029,315,3346,21496,54060,66780,

%T 40635,9765,196082,1471460,4527228,7328580,6596100,3134565,615195

%N Triangle read by rows: coefficients xi(n,k) arising from the study of completely transitive graphs on n nodes.

%H E. Andresen, K. Kjeldsen, <a href="http://dx.doi.org/10.1016/0012-365X(76)90054-6">On certain subgraphs of a complete transitively directed graph</a>, Discrete Math. 14 (1976), no. 2, 103-119.

%H Hsien-Kuei Hwang, Emma Yu Jin, Michael J. Schlosser, <a href="https://arxiv.org/abs/2012.13570">Asymptotics and statistics on Fishburn Matrices: dimension distribution and a conjecture of Stoimenow</a>, arXiv:2012.13570 [math.CO], Dec 25 2020, p. 29.

%e Triangle begins:

%e 1,

%e 1,1,

%e 2,5,3,

%e 10,40,51,21,

%e 122,644,1236,1029,315,

%e 3346,21496,54060,66780,40635,9765,

%e 196082,1471460,4527228,7328580,6596100,3134565,615195,

%e ...

%Y Cf. A259971, A259970.

%Y Diagonals include A005321, A005330

%Y Row sums are also A005321.

%K nonn,more,tabl

%O 1,4

%A _N. J. A. Sloane_, Jul 11 2015