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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. 2

%I #13 Oct 03 2019 05:47:06

%S 1,0,1,1,4,3,16,26,99,256,895,2789,9740,32799,115024,401180,1421170,

%T 5046539,18066772,64940825,234712099,851801048,3104690139,11358900851,

%U 41710948878,153684688127,568079430741,2106188450292

%N 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.

%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, A113202, A113204, A113205.

%K nonn

%O 8,5

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

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