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Search: id:A128113
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| A128113 |
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Number of uniform polyhedra with n edges. |
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2
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| 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 3, 0, 0, 2, 1, 0, 2, 0, 3, 3, 0, 0, 6, 0, 0, 3, 4, 0, 8, 0, 3, 5, 0, 0, 9, 0, 0, 6, 2, 0, 3, 0, 7, 4, 0, 0, 13, 0, 0, 8, 8, 0, 3, 0, 4, 9, 0, 0, 22, 0, 0, 6, 5, 0, 5, 0, 11, 11, 0, 0, 11, 0, 0, 10, 12, 0, 6, 0, 6, 9, 0, 0, 14, 0, 0, 14, 6, 0, 10, 0, 15, 15, 0, 0, 13, 0, 0
(list; graph; listen)
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OFFSET
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1,12
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LINKS
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Hart, George W., Uniform Polyhedra.
Maeder, Roman E., Uniform Polyhedra.
Eric Weisstein's World of Mathematics, Uniform Polyhedron.
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FORMULA
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After 240th term, a(n) equals the sum between [A055684(n/3) + 1 for n != 0 mod 3, otherwise 0] and [A055684(n/4) + A128115(n/4) + 1 for n != 0 mod 4, otherwise 0].
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EXAMPLE
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The first non zero term, a(6)=1, represents the polyhedron with least edges: the tetrahedron. There is no polyhedron with 7 edges, and no polyhedron with 8 edges is uniform, a(9)=1 represents the triangular prism, the next non zero term, a(12), is 3 because there are the tetrahemihexahedron, the cube and the octahedron.
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CROSSREFS
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Cf. A128112, A128114.
Adjacent sequences: A128110 A128111 A128112 this_sequence A128114 A128115 A128116
Sequence in context: A067168 A099475 A120569 this_sequence A108930 A059682 A112883
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KEYWORD
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nonn
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AUTHOR
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Paulo de A. Sachs (sachs6(AT)yahoo.de), Feb 15 2007, corrected Feb 15 2007
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