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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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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; 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, Dodecahedron
Eric Weisstein's World of Mathematics, Platonic Solid
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FORMULA
| a(n) = round(3 * n^2 * sqrt(25+10*sqrt(5)))
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EXAMPLE
| 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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PROG
| (PARI) for(n=0, 100, print1(round(3*n^2*sqrt(25+10*sqrt(5))), ", "))
(MAGMA) [Round(3 * n^2 * Sqrt(25+10*Sqrt(5))): n in [0..50]]; // Vincenzo Librandi, May 21 2011
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CROSSREFS
| Cf. A070169 (tetrahedron), A033581 (cube), A071396 (octahedron), A071398 (icosahedron), A071401 (volume of dodecahedron).
Sequence in context: A159743 A195961 A190023 * A064762 A104676 A143244
Adjacent sequences: A071394 A071395 A071396 * A071398 A071399 A071400
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KEYWORD
| easy,nonn
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AUTHOR
| Rick L. Shepherd (rshepherd2(AT)hotmail.com), May 28 2002
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