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A111361
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The number of 4-regular plane graphs with all faces 3-gons or 4-gons.
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0
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1, 0, 1, 1, 2, 1, 5, 2, 8, 5, 12, 8, 25, 13, 30, 23, 51, 33, 76, 51, 109, 78, 144, 106, 218, 150, 274, 212
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OFFSET
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6,5
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COMMENTS
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These are the 4-regular graphs corresponding to the 3-regular fullerenes. Only the two smallest possible face sizes are allowed. The numbers given have been checked by 2 independent programs. Further numbers exist, but have not been checked independently.
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REFERENCES
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G. Brinkmann, O. Heidemeier and T. Harmuth. The construction of cubic and quartic planar maps with prescribed face degrees. Discrete Applied Mathematics 128: 541-554, (2003).
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LINKS
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Table of n, a(n) for n=6..33.
G. Brinkmann and B.D. McKay, plantri.
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EXAMPLE
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The smallest example is the octahedron (only 3-gons).
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CROSSREFS
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Cf. A007894, A007022.
Sequence in context: A070951 A076937 A014682 * A167160 A205377 A082010
Adjacent sequences: A111358 A111359 A111360 * A111362 A111363 A111364
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KEYWORD
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hard,nonn
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AUTHOR
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Gunnar Brinkmann (Gunnar.Brinkmann(AT)UGent.be), Nov 07 2005
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STATUS
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approved
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