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A000944 Number of polyhedra (or 3-connected simple planar graphs) with n nodes.
(Formerly M1796 N0709)
+0
13
0, 0, 0, 1, 2, 7, 34, 257, 2606, 32300, 440564, 6384634, 96262938, 1496225352, 23833988129, 387591510244, 6415851530241, 107854282197058 (list; graph; listen)
OFFSET

1,5

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

H. T. Croft, K. J. Falconer and R. K. Guy, Unsolved Problems in Geometry, B15.

M. B. Dillencourt, Polyhedra of small orders and their Hamiltonian properties. Tech. Rep. 92-91, Info. and Comp. Sci. Dept., Univ. Calif. Irvine, 1992.

Duijvestijn, A. J. W.; Federico, P. J.; The number of polyhedral (3-connected planar) graphs. Math. Comp. 37 (1981), no. 156, 523-532.

B. Gr\"{u}nbaum, Convex Polytopes. Wiley, NY, 1967, p. 424.

A. B. Korchagin, Ordering cellular spaces ..., Discrete Comput. Geom., 40 (2008), 289-311.

Y. Y. Prokhorov, ed., Mnogogrannik [Polyhedron], Mathematical Encyclopedia Dictionary, Soviet Encyclopedia, 1988.

G. M. Ziegler, Questions about polytopes, pp. 1195-1211 of Mathematics Unlimited - 2001 and Beyond, ed. B. Engquist and W. Schmid, Springer-Verlag, 2001.

LINKS

G. Brinkmannm and B. McKay, Program for generating these objects..

G. P. Michon, Counting Polyhedra

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Cf. A005470, A049337, A049334, A003094, A049336, A021103.

Sequence in context: A049463 A029894 A110313 this_sequence A136310 A057298 A058941

Adjacent sequences: A000941 A000942 A000943 this_sequence A000945 A000946 A000947

KEYWORD

nonn,nice,hard

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Brendan McKay (bdm(AT)cs.anu.edu.au).

a(18) from Brendan McKay (bdm(AT)cs.anu.edu.au), Jun 02 2006

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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