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Number of isomorphism classes of simple quadrangulations of the sphere having n vertices and n-2 faces, with orientation-reversing isomorphisms forbidden.
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%I #13 Oct 03 2019 05:46:59

%S 1,1,2,3,10,21,83,298,1339,6049,29765,148842,770267,4054539,21743705,

%T 118237471,651370528,3628421181,20416662314,115919209155,663548898942,

%U 3826577783917,22217382001865,129800215435088

%N Number of isomorphism classes of simple quadrangulations of the sphere having n vertices and n-2 faces, with orientation-reversing isomorphisms forbidden.

%H G. Brinkmann, S. Greenberg, C. Greenhill, B. D. McKay, R. Thomas, and P. Wollan, <a href="http://dx.doi.org/10.1016/j.disc.2005.10.005">Generation of simple quadrangulations of the sphere</a>, Discr. Math., 305 (2005), 33-54.

%H Gunnar Brinkmann and Brendan McKay, <a href="http://users.cecs.anu.edu.au/~bdm/plantri/">plantri and fullgen</a> programs for generation of certain types of planar graph.

%H Gunnar Brinkmann and Brendan McKay, <a href="/A000103/a000103_1.pdf">plantri and fullgen</a> programs for generation of certain types of planar graph [Cached copy, pdf file only, no active links, with permission]

%H CombOS - Combinatorial Object Server, <a href="http://combos.org/plantri">generate planar graphs</a>

%Y Cf. A113201, A078666, A007022, A002880, A113203, A113204, A113205.

%K nonn

%O 4,3

%A _N. J. A. Sloane_, Jan 07 2006