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Search: id:A071397
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| A071397 |
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Rounded total surface area of a regular dodecahedron with edge length n. |
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+0
6
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| 0, 21, 83, 186, 330, 516, 743, 1012, 1321, 1672, 2065, 2498, 2973, 3489, 4047, 4645, 5285, 5967, 6689, 7453, 8258, 9105, 9993, 10922, 11892, 12904, 13957, 15051, 16186, 17363, 18581, 19841, 21141, 22483, 23866, 25291, 26757, 28264, 29812
(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(3 * n^2 * sqrt(25+10*sqrt(5)))
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EXAMPLE
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a(4)=330 because round(3*4^2*sqrt(25+10*sqrt(5)))=round(48*6.88190...)=round(330.331...)=330.
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PROGRAM
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(PARI) for(n=0, 100, print1(round(3*n^2*sqrt(25+10*sqrt(5))), ", "))
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CROSSREFS
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Cf. A070169 (tetrahedron), A033581 (cube), A071396 (octahedron), A071398 (icosahedron), A071401 (volume of dodecahedron).
Sequence in context: A135945 A158493 A159743 this_sequence A064762 A104676 A143244
Adjacent sequences: A071394 A071395 A071396 this_sequence A071398 A071399 A071400
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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 28 2002
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