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Search: id:A071399
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| A071399 |
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Rounded volume of a regular tetrahedron with edge length n. |
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+0
6
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| 0, 0, 1, 3, 8, 15, 25, 40, 60, 86, 118, 157, 204, 259, 323, 398, 483, 579, 687, 808, 943, 1091, 1255, 1434, 1629, 1841, 2071, 2320, 2587, 2874, 3182, 3511, 3862, 4235, 4632, 5053, 5498, 5970, 6467, 6991, 7542, 8122, 8731, 9370, 10039, 10739, 11471, 12236
(list; graph; listen)
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OFFSET
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0,4
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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^3 * sqrt(2)/12)
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EXAMPLE
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a(4)=8 because round(4^3*sqrt(2)/12)=round(64*.11785...)=round(7.542...)=8.
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PROGRAM
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(PARI) for(n=0, 100, print1(round(n^3*sqrt(2)/12), ", "))
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CROSSREFS
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Cf. A000578 (cube), A071400 (octahedron), A071401 (dodecahedron), A071402 (icosahedron), A070169 (total surface area of tetrahedron).
Sequence in context: A060615 A022451 A080181 this_sequence A001208 A159465 A071148
Adjacent sequences: A071396 A071397 A071398 this_sequence A071400 A071401 A071402
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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), May 29 2002
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