A243276 Number of graphs with n nodes that are Hamiltonian and have no induced subgraph isomorphic to K_4.

1, 0, 1, 2, 5, 29, 188, 2481, 52499, 1857651, 104392105

Offset

1,4

Comments

K_4 is the complete graph on four vertices.

Links

Table of n, a(n) for n=1..11.

Travis Hoppe and Anna Petrone, Encyclopedia of Finite Graphs

T. Hoppe and A. Petrone, Integer sequence discovery from small graphs, arXiv preprint arXiv:1408.3644, 2014

F. Hüffner, tinygraph, software for generating integer sequences based on graph properties, version 4361e42

Crossrefs

Cf. A003216 (Hamiltonian graphs), A079574 (connected K_4 free graphs).

Sequence in context: A104083 A257163 A327765 * A277005 A350922 A007014

Adjacent sequences: A243273 A243274 A243275 * A243277 A243278 A243279

Keyword

nonn,more

Author

Travis Hoppe and Anna Petrone, Jun 02 2014

Extensions

a(11) added using tinygraph by Falk Hüffner, Aug 13 2017

Status

approved