A259971 Triangle read by rows: coefficients xi(n,k) arising from the study of completely transitive graphs on n nodes.

1, 1, 1, 2, 5, 3, 10, 40, 51, 21, 122, 644, 1236, 1029, 315, 3346, 21496, 54060, 66780, 40635, 9765, 196082, 1471460, 4527228, 7328580, 6596100, 3134565, 615195

Offset

1,4

Links

Table of n, a(n) for n=1..28.

E. Andresen, K. Kjeldsen, On certain subgraphs of a complete transitively directed graph, Discrete Math. 14 (1976), no. 2, 103-119.

Hsien-Kuei Hwang, Emma Yu Jin, Michael J. Schlosser, Asymptotics and statistics on Fishburn Matrices: dimension distribution and a conjecture of Stoimenow, arXiv:2012.13570 [math.CO], Dec 25 2020, p. 29.

Example

Triangle begins:
1,
1,1,
2,5,3,
10,40,51,21,
122,644,1236,1029,315,
3346,21496,54060,66780,40635,9765,
196082,1471460,4527228,7328580,6596100,3134565,615195,
...

Crossrefs

Cf. A259971, A259970.

Diagonals include A005321, A005330

Row sums are also A005321.

Sequence in context: A138765 A097753 A120860 * A091809 A110315 A275677

Adjacent sequences: A259968 A259969 A259970 * A259972 A259973 A259974

Keyword

nonn,more,tabl

Author

N. J. A. Sloane, Jul 11 2015

Status

approved