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A111357
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Numbers of planar triangulations with minimum degree 5 and without separating 3-cycles - that is 3-cycles where the interior and exterior contain at least one vertex.
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0
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1, 0, 1, 1, 3, 4, 12, 23, 73, 191, 649, 2054, 7209, 24963, 89376, 320133, 1160752, 4218225, 15414908, 56474453, 207586410, 764855802, 2825168619, 10458049611, 38795658003, 144203518881, 537031911877, 2003618333624, 7488436558647
(list; graph; refs; listen; history; internal format)
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OFFSET
| 12,5
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REFERENCES
| G. Brinkmann and B. D. McKay, Construction of planar triangulations with minimum degree 5, Discr. Math. 301 (2005), 147-163.
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LINKS
| G. Brinkmann and B. D. McKay plantri.
G. Brinkmann, CaGe.
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EXAMPLE
| The icosahedron is the smallest triangulation with minimum degree 5 and it doesn't contain any separating triangles. Examples can easily be seen as 2D and 3D pictures using the program CaGe cited above.
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CROSSREFS
| Cf. A081621, A007894.
Sequence in context: A071332 A006791 A111358 * A081621 A073713 A084921
Adjacent sequences: A111354 A111355 A111356 * A111358 A111359 A111360
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KEYWORD
| nonn
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AUTHOR
| Gunnar Brinkmann (Gunnar.Brinkmann(AT)UGent.be), Nov 07 2005
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