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Search: id:A071400
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| A071400 |
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Rounded volume of a regular octahedron with edge length n. |
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+0
5
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| 0, 0, 4, 13, 30, 59, 102, 162, 241, 344, 471, 627, 815, 1036, 1294, 1591, 1931, 2316, 2749, 3233, 3771, 4366, 5020, 5736, 6517, 7366, 8285, 9279, 10348, 11497, 12728, 14044, 15447, 16941, 18528, 20211, 21994, 23878, 25867, 27963, 30170, 32490
(list; graph; listen)
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OFFSET
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0,3
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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
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FORMULA
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a(n) = round(n^3 * sqrt(2)/3)
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EXAMPLE
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a(4)=30 because round(4^3*sqrt(2)/3)=round(64*.47140...)=round(30.169...)=30.
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PROGRAM
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(PARI) for(n=0, 100, print1(round(n^3*sqrt(2)/3), ", "))
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CROSSREFS
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Cf. A000578 (cube), A071399 (tetrahedron), A071401 (dodecahedron), A071402 (icosahedron), A071396 (total surface area of octahedron).
Sequence in context: A015634 A041301 A138989 this_sequence A075880 A042487 A106302
Adjacent sequences: A071397 A071398 A071399 this_sequence A071401 A071402 A071403
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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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