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

1,6

Links

Table of n, a(n) for n=1..14.

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).

Sequence in context: A151450 A243772 A332316 * A269782 A131139 A152291

Adjacent sequences: A243272 A243273 A243274 * A243276 A243277 A243278

Keyword

nonn,more

Author

Travis Hoppe and Anna Petrone, Jun 02 2014

Extensions

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

Status

approved