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A007022
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Number of 4-regular polyhedra with n nodes.
(Formerly M2290)
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9
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1, 0, 1, 1, 3, 3, 11, 18, 58, 139, 451, 1326, 4461, 14554, 49957, 171159, 598102, 2098675, 7437910, 26490072, 94944685, 341867921, 1236864842, 4493270976, 16387852863, 59985464681, 220320405895, 811796327750, 3000183106119
(list; graph; refs; listen; history; internal format)
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OFFSET
| 8,5
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REFERENCES
| 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. Tech. Rep. 92-91, Info. and Comp. Sci. Dept., Univ. Calif. Irvine, 1992.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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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.
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CROSSREFS
| Cf. A113204.
Sequence in context: A045494 A027416 A163932 * A011950 A124265 A163938
Adjacent sequences: A007019 A007020 A007021 * A007023 A007024 A007025
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Hugo Pfoertner (hugo(AT)pfoertner.org), Mar 22 2003
a(31) corrected by Brendan McKay (bdm(AT)cs.au.edu.au), Jun 22 2006
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