Search: id:A000944
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%I A000944 M1796 N0709
%S A000944 0,0,0,1,2,7,34,257,2606,32300,440564,6384634,96262938,1496225352,
%T A000944 23833988129,387591510244,6415851530241,107854282197058
%N A000944 Number of polyhedra (or 3-connected simple planar graphs) with n nodes.
%D A000944 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000944 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000944 H. T. Croft, K. J. Falconer and R. K. Guy, Unsolved Problems in Geometry, 
               B15.
%D A000944 M. B. Dillencourt, Polyhedra of small orders and their Hamiltonian properties. 
               Tech. Rep. 92-91, Info. and Comp. Sci. Dept., Univ. Calif. Irvine, 
               1992.
%D A000944 Duijvestijn, A. J. W.; Federico, P. J.; The number of polyhedral (3-connected 
               planar) graphs. Math. Comp. 37 (1981), no. 156, 523-532.
%D A000944 B. Gr\"{u}nbaum, Convex Polytopes. Wiley, NY, 1967, p. 424.
%D A000944 A. B. Korchagin, Ordering cellular spaces ..., Discrete Comput. Geom., 
               40 (2008), 289-311.
%D A000944 Y. Y. Prokhorov, ed., Mnogogrannik [Polyhedron], Mathematical Encyclopedia 
               Dictionary, Soviet Encyclopedia, 1988.
%D A000944 G. M. Ziegler, Questions about polytopes, pp. 1195-1211 of Mathematics 
               Unlimited - 2001 and Beyond, ed. B. Engquist and W. Schmid, Springer-Verlag, 
               2001.
%H A000944 G. Brinkmannm and B. McKay, <a href="http://cs.anu.edu.au/~bdm/plantri/
               ">Program for generating these objects.</a>.
%H A000944 G. P. Michon, <a href="http://www.numericana.com/data/polyhedra.htm">
               Counting Polyhedra</a>
%H A000944 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PolyhedralGraph.html">Link to a section of The World of Mathematics.</
               a>
%Y A000944 Cf. A005470, A049337, A049334, A003094, A049336, A021103.
%Y A000944 Sequence in context: A049463 A029894 A110313 this_sequence A136310 A057298 
               A058941
%Y A000944 Adjacent sequences: A000941 A000942 A000943 this_sequence A000945 A000946 
               A000947
%K A000944 nonn,nice,hard
%O A000944 1,5
%A A000944 N. J. A. Sloane (njas(AT)research.att.com).
%E A000944 More terms from Brendan McKay (bdm(AT)cs.anu.edu.au).
%E A000944 a(18) from Brendan McKay (bdm(AT)cs.anu.edu.au), Jun 02 2006

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