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

1,3

Comments

K_4 is the complete graph on four vertices.

Links

Table of n, a(n) for n=1..12.

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).

Sequence in context: A361243 A302194 A289739 * A259622 A054499 A001186

Adjacent sequences: A243334 A243335 A243336 * A243338 A243339 A243340

Keyword

nonn,more

Author

Travis Hoppe and Anna Petrone, Jun 03 2014

Extensions

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

Status

approved