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A002880 Number of 3-connected nets with n edges.
(Formerly M0381 N0143)
+0
6
1, 0, 1, 1, 2, 2, 9, 11, 37, 79, 249, 671, 2182, 6692, 22131, 72405, 243806, 822788, 2815119, 9679205, 33551192, 116900081, 409675567, 1442454215, 5102542680, 18124571838, 64634480340, 231334873091, 830828150081, 2993489821771 (list; graph; listen)
OFFSET

6,5

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).

Gunnar Brinkmann, Sam Greenberg, Catherine Greenhill, Brendan D. McKay, Robin Thomas and Paul Wollan, Generation of simple quadrangulations of the sphere, Discr. Math., 305 (2005), 33-54.

M. B. Dillencourt, Polyhedra of small orders and their Hamiltonian properties. Journal of Combinatorial Theory, Series B, 66 (1996) 87-122.

P. J. Federico, Enumeration of polyhedra: the number of 9-hedra, J. Combin. Theory, 7 (1969), 155-161.

N. D. Kazarinoff and R. Weitzenkamp, Squaring rectangles and squares, Amer. Math. Monthly, 80 (1973), 877-888.

LINKS

G. Brinkmann et al., Generation of simple quadrangulations of the sphere

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

CROSSREFS

Cf. A113201, A078666, A007022.

Adjacent sequences: A002877 A002878 A002879 this_sequence A002881 A002882 A002883

Sequence in context: A010765 A143022 A154100 this_sequence A066324 A143146 A039796

KEYWORD

nonn,nice

AUTHOR

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

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.


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