A126201 Number of rooted connected unlabeled planar graphs on n nodes.

1, 1, 3, 11, 57, 375, 3398, 40043, 585440, 9895493

Offset: 1

Author

David Applegate and N. J. A. Sloane, Mar 09 2007

Keywords

• nonn
• more

Comments

Number of "pointed" connected planar graphs on n nodes: number of pairs (G,P) where G is a connected unlabeled planar graph with n nodes and P runs through the orbit representatives of nodes in G under the action of Aut(G).

For n <= 4 this agrees with A126100; a(5) = A126100(5) - 1 = 57, since K_5 is the only excluded graph on 5 nodes.

Crossrefs

Cf. A005470, A039735, A126100.

Extensions

a(6)-a(10) from Brendan McKay, Mar 10 2007