A243790 Number of simple connected graphs with n nodes that are Hamiltonian and have no subgraph isomorphic to the open-bowtie graph.

1, 0, 1, 3, 3, 9, 13, 59, 203, 1651, 15728

Offset

1,4

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 [math.CO], 2014.

F. Hüffner, tinygraph, software for generating integer sequences based on graph properties, version a1db88e

Crossrefs

Cf. A242791 (open-bowtie free graphs), A003216 (Hamiltonian graphs).

Sequence in context: A348402 A138383 A052436 * A267296 A122847 A197462

Adjacent sequences: A243787 A243788 A243789 * A243791 A243792 A243793

Keyword

nonn,more

Author

Travis Hoppe and Anna Petrone, Jun 16 2014

Extensions

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

Status

approved