

A063723


Number of vertices in the Platonic solids (in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron).


14




OFFSET

1,1


COMMENTS

Also number of faces of Platonic solids ordered by increasing ratios of volumes to their respective circumscribed spheres. See crossreferences for actual ratios.  Rick L. Shepherd, Oct 04 2009
Also the expected lengths of nontrivial random walks along the edges of a Platonic solid from one vertex back to itself.  Jens Voß, Jan 02 2014


LINKS

Table of n, a(n) for n=1..5.


FORMULA

a(n) = A063722(n)  A053016(n) + 2.


EXAMPLE

a(2) = 8 since a cube has eight vertices.


CROSSREFS

Cf. A053012, A060296, A060852.
Cf. A165922 (tetrahedron), A049541 (octahedron), A165952 (cube), A165954 (icosahedron), A165953 (dodecahedron).  Rick L. Shepherd, Oct 04 2009
Cf. A234974.  Jens Voß, Jan 02 2014
Sequence in context: A288189 A064494 A119800 * A028269 A019650 A193081
Adjacent sequences: A063720 A063721 A063722 * A063724 A063725 A063726


KEYWORD

easy,fini,full,nonn


AUTHOR

Henry Bottomley, Aug 14 2001


STATUS

approved



