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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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7
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| S. Selby, editor, CRC Basic Mathematical Tables, CRC Press, 1970, pp. 10-11.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
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
| a(n) = round(n^2 * sqrt(3))
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EXAMPLE
| a(3)=16 because round(3^2*sqrt(3))=round(9*1.73205...)=round(15.5884...)=16.
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PROG
| (PARI) for(n=0, 100, print1(round(n^2*sqrt(3)), ", "))
(MAGMA) [Round(n^2 * Sqrt(3)): n in [0..50]]; // Vincenzo Librandi, May 21 2011
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CROSSREFS
| Cf. A033581 (cube), A071396 (octahedron), A071397 (dodecahedron), A071398 (icosahedron), A071399 (volume of tetrahedron).
Sequence in context: A041341 A083508 A048231 * A162420 A130883 A005581
Adjacent sequences: A070166 A070167 A070168 * A070170 A070171 A070172
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KEYWORD
| easy,nonn
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AUTHOR
| Rick L. Shepherd (rshepherd2(AT)hotmail.com), Apr 24 2002
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