A243275 Number of graphs with n nodes that are Hamiltonian and triangle-free.

1, 0, 0, 1, 1, 4, 5, 35, 130, 1293, 13529, 232852, 5009335, 147950020

Offset: 1

Author

Travis Hoppe and Anna Petrone, Jun 02 2014

Keywords

• nonn
• more

Links

• 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 [math.CO], 2014.
• F. Hüffner, tinygraph, software for generating integer sequences based on graph properties, version a1db88e

Crossrefs

Cf. A003216 (Hamiltonian graphs), A024607 (connected triangle-free graphs).

Extensions

a(11)-a(14) added using tinygraph by Falk Hüffner, Aug 15 2017