A243337 Number of simple connected graphs with n nodes that are planar and K_4 free.

1, 1, 2, 5, 17, 79, 478, 4123, 46666, 648758, 10275896, 177007433

Offset: 1

Author

Travis Hoppe and Anna Petrone, Jun 03 2014

Keywords

• nonn
• more

Comments

K_4 is the complete graph on four vertices.

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 9766535.

Crossrefs

Cf. A003094 (planar graphs), A079574 (K_4 free graphs).

Extensions

a(11)-a(12) added using tinygraph by Falk Hüffner, May 10 2019