A113203 Number of isomorphism classes of simple quadrangulations of the sphere having n vertices and n-2 faces, minimal degree 3, with orientation-reversing isomorphisms forbidden.

1, 0, 1, 1, 4, 3, 16, 26, 99, 256, 895, 2789, 9740, 32799, 115024, 401180, 1421170, 5046539, 18066772, 64940825, 234712099, 851801048, 3104690139, 11358900851, 41710948878, 153684688127, 568079430741, 2106188450292, 7831185534651

Offset

8,5

Links

Table of n, a(n) for n=8..36.

G. Brinkmann, S. Greenberg, C. Greenhill, B. D. McKay, R. Thomas, and P. Wollan, Generation of simple quadrangulations of the sphere, Discr. Math., 305 (2005), 33-54.

Gunnar Brinkmann and Brendan McKay, plantri and fullgen programs for generation of certain types of planar graph.

Gunnar Brinkmann and Brendan McKay, plantri and fullgen programs for generation of certain types of planar graph [Cached copy, pdf file only, no active links, with permission]

Gunnar Brinkmann and Brendan McKay, Fast generation of planar graphs (expanded version), 2008.

CombOS - Combinatorial Object Server, generate planar graphs

Crossrefs

Cf. A113201, A078666, A007022, A002880, A113202, A113204, A113205.

Sequence in context: A370566 A046162 A060509 * A034486 A130515 A302851

Adjacent sequences: A113200 A113201 A113202 * A113204 A113205 A113206

Keyword

nonn

Author

N. J. A. Sloane, Jan 07 2006

Extensions

a(36) from Brinkmann and McKay (2008) added by Andrei Zabolotskii, May 30 2026

Status

approved