A128114 Number of uniform polyhedra with n vertices.

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, 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, 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

Offset

1,6

Links

Table of n, a(n) for n=1..89.

Hart, George W., Uniform Polyhedra.

Maeder, Roman E., Uniform Polyhedra.

Eric Weisstein's World of Mathematics, Uniform Polyhedron.

Formula

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

Example

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.

Crossrefs

Cf. A128914.

Sequence in context: A318652 A061064 A016597 * A065152 A344209 A171759

Adjacent sequences: A128111 A128112 A128113 * A128115 A128116 A128117

Keyword

nonn,changed

Author

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

Status

approved