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A128114 Number of uniform polyhedra with n vertices. 8


%S 0,0,0,1,0,3,0,2,0,5,0,10,0,7,0,5,0,7,0,9,0,12,0,15,0,14,0,7,0,18,0,9,

%T 0,19,0,7,0,21,0,10,0,14,0,11,0,26,0,12,0,23,0,14,0,21,0,14,0,33,0,42,

%U 0,35,0,19,0,23,0,18,0,28,0,14,0,42,0,21,0,28,0,18,0,47,0,14,0,49,0,24,0

%N Number of uniform polyhedra with n vertices.

%H Hart, George W., <a href="http://www.georgehart.com/virtual-polyhedra/uniform-info.html">Uniform Polyhedra</a>.

%H Maeder, Roman E., <a href="http://www.mathconsult.ch/showroom/unipoly/unipoly.html">Uniform Polyhedra</a>.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/UniformPolyhedron.html">Uniform Polyhedron.</a>

%F After 120th term, a(n) equals 0 for n odd and 2 * A055684(n/2) + A128115(n/2) + 2 for n even.

%e Every other term is zero because there are no uniform polyhedra with an odd number of vertices. a(6)=3 because there are the octahedron, the tetrahemihexahedron and the triangular prism.

%Y Cf. A128914.

%K nonn

%O 1,6

%A Paulo de A. Sachs (sachs6(AT)yahoo.de), Feb 15 2007, corrected Feb 15 2007

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