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A058786
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Number of n-hedra with 2n-5 vertices or 3n-7 edges (the vertices of these are all of degree 3, except one which is of degree 4). Alternatively, the number of polyhedra with n vertices whose faces are all triangular, except one which is tetragonal.
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3
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1, 2, 8, 38, 219, 1404, 9714, 70454, 527235, 4037671, 31477887, 249026400, 1994599707, 16147744792
(list; graph; refs; listen; history; internal format)
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OFFSET
| 5,2
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LINKS
| G. P. Michon, Counting Polyhedra
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EXAMPLE
| a(5)=1 because the square pyramid is the only pentahedron with 5=2*5-5 vertices (or 8=3*5-7 edges). Alternatively, a(5)=1 because the square pyramid is the only polyhedron with 5 vertices whose faces are all triangles with only one tetragonal exception.
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CROSSREFS
| Cf. A000109, A002856, A000944, A002840, A058787, A058788, A049337.
Sequence in context: A020031 A179323 A001340 * A096654 A191016 A060389
Adjacent sequences: A058783 A058784 A058785 * A058787 A058788 A058789
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KEYWORD
| hard,nonn,nice
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AUTHOR
| Gerard P. Michon (g.michon(AT)att.net), Nov 29 2000
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