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A063723
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Number of vertices in the Platonic solids (in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron).
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18
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OFFSET
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1,1
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COMMENTS
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The preferred order for these five numbers is 4, 6, 8, 12, 20 (tetrahedron, octahedron, cube, icosahedron, dodecahedron), as in A053016. - N. J. A. Sloane, Nov 05 2020
Also number of faces of Platonic solids ordered by increasing ratios of volumes to their respective circumscribed spheres. See cross-references 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
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LINKS
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Table of n, a(n) for n=1..5.
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FORMULA
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a(n) = A063722(n) - A053016(n) + 2.
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EXAMPLE
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a(2) = 8 since a cube has eight vertices.
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CROSSREFS
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Cf. A053012, A053016, 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: A064494 A119800 A330685 * A323057 A028269 A019650
Adjacent sequences: A063720 A063721 A063722 * A063724 A063725 A063726
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KEYWORD
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easy,fini,full,nonn
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AUTHOR
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Henry Bottomley, Aug 14 2001
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STATUS
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approved
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