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 A128113 Number of uniform polyhedra with n edges. 6
 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; refs; listen; history; text; internal format)
 OFFSET 1,12 LINKS Hart, George W., Uniform Polyhedra. Maeder, Roman E., Uniform Polyhedra. Eric Weisstein's World of Mathematics, Uniform Polyhedron. FORMULA 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]. EXAMPLE The first nonzero 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 nonzero term, a(12), is 3 because there are the tetrahemihexahedron, the cube and the octahedron. CROSSREFS Cf. A128112, A128114. Sequence in context: A067168 A099475 A120569 * A108930 A059682 A156548 Adjacent sequences:  A128110 A128111 A128112 * A128114 A128115 A128116 KEYWORD nonn AUTHOR Paulo de A. Sachs (sachs6(AT)yahoo.de), Feb 15 2007, corrected Feb 15 2007 STATUS approved

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Last modified May 5 23:32 EDT 2021. Contains 343579 sequences. (Running on oeis4.)