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Search: id:A063723
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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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+0
11
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OFFSET
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0,1
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COMMENT
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Also number of faces of Platonic solids ordered by increasing ratios of volumes to their respective circumscribed spheres. See cross-references for actual ratios. [From Rick L. Shepherd (rshepherd2(AT)hotmail.com), Oct 04 2009]
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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(1)=8 since a cube has eight vertices.
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CROSSREFS
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Cf. A053012, A060296, A060852.
Cf. A165922 (tetrahedron), A049541 (octahedron), A165952 (cube), A165954 (icosahedron), A165953 (dodecahedron). [From Rick L. Shepherd (rshepherd2(AT)hotmail.com), Oct 04 2009]
Sequence in context: A005531 A064494 A119800 this_sequence A028269 A019650 A146501
Adjacent sequences: A063720 A063721 A063722 this_sequence 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 (se16(AT)btinternet.com), Aug 14 2001
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