A058789 Number of polyhedra with n faces and n+1 vertices (or n vertices and n+1 faces).

0, 1, 2, 11, 74, 633, 6134, 64439, 709302, 8085725, 94713809, 1134914458, 13865916560, 172301697581, 2173270387051

Offset

4,3

Comments

Through a(18) the only primes are 2, 11, and 64439. - Jonathan Vos Post, Apr 23 2011

Links

Table of n, a(n) for n=4..18.

G. P. Michon, Counting Polyhedra

Example

a(5)=1 because the triangular prism is the only pentahedron with 6 vertices.

Crossrefs

Cf. A002856, A000109, A058786, A058787, A058788.

Sequence in context: A346424 A319743 A166992 * A212028 A324445 A158265

Adjacent sequences: A058786 A058787 A058788 * A058790 A058791 A058792

Keyword

hard,nice,nonn

Author

Gerard P. Michon, Nov 30 2000

Status

approved