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Search: id:A070169
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| A070169 |
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Rounded total surface area of a regular tetrahedron with edge length n. |
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+0
6
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| 0, 2, 7, 16, 28, 43, 62, 85, 111, 140, 173, 210, 249, 293, 339, 390, 443, 501, 561, 625, 693, 764, 838, 916, 998, 1083, 1171, 1263, 1358, 1457, 1559, 1665, 1774, 1886, 2002, 2122, 2245, 2371, 2501, 2634, 2771, 2912, 3055, 3203, 3353, 3507, 3665, 3826, 3991
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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S. Selby, editor, CRC Basic Mathematical Tables, CRC Press, 1970, pp. 10-11.
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics
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FORMULA
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a(n) = round(n^2 * sqrt(3))
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EXAMPLE
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a(3)=16 because round(3^2*sqrt(3))=round(9*1.73205...)=round(15.5884...)=16.
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PROGRAM
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(PARI) for(n=0, 100, print1(round(n^2*sqrt(3)), ", "))
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CROSSREFS
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Cf. A033581 (cube), A071396 (octahedron), A071397 (dodecahedron), A071398 (icosahedron), A071399 (volume of tetrahedron).
Sequence in context: A041341 A083508 A048231 this_sequence A162420 A130883 A005581
Adjacent sequences: A070166 A070167 A070168 this_sequence A070170 A070171 A070172
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KEYWORD
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easy,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Apr 24 2002
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