A372892 Total number of unlabeled simple maps on the sphere with n vertices.

1, 1, 2, 6, 25, 179, 2014, 31178, 580555, 12046072, 267836680, 6258809085, 151983244000, 3807081193879

Offset: 1

Author

Eric W. Weisstein, May 19 2024

Keywords

• nonn
• more

Comments

Computed by Brendan McKay.

a(n) is the same as the total number of distinct spherical drawings of connected graphs with n vertices.

Links

• Gunnar Brinkmann and Brendan McKay, Fast generation of planar graphs (expanded edition), Tables 19-22.

Crossrefs

Row sums of A384963, column sums of A384850.

Cf. A372853 (uniquely embeddable connected graphs).

Cf. A372854 (largest numbers of planar embeddings for connected graphs).

Cf. A006395 (with n edges), A384965 (sensed version).

Extensions

a(14) added by Andrew Howroyd, Jun 13 2025