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A071401
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Rounded volume of a regular dodecahedron with edge length n.
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4
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0, 8, 61, 207, 490, 958, 1655, 2628, 3924, 5586, 7663, 10200, 13242, 16836, 21028, 25863, 31388, 37649, 44691, 52561, 61305, 70968, 81597, 93237, 105935, 119736, 134687, 150833, 168221, 186896, 206904, 228292, 251105, 275390, 301191, 328556
(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
| Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics
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FORMULA
| a(n) = round(n^3 * (15+7*sqrt(5))/4)
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EXAMPLE
| a(6)=1665 because round(6^3*(15+7*sqrt(5))/4)=round(216*7.6631...)=round(1655.23...)=1665.
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MATHEMATICA
| Table[Floor[n^3 (15+7Sqrt[5])/4+1/2], {n, 0, 50}] (* From Harvey P. Dale, Apr 25 2011 *)
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PROG
| (PARI) for(n=0, 100, print1(round(n^3*(15+7*sqrt(5))/4), ", "))
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CROSSREFS
| Cf. A000578 (cube), A071399 (tetrahedron), A071400 (octahedron), A071402 (icosahedron), A071397 (total surface area of dodecahedron).
Sequence in context: A075147 A034664 A007399 * A081907 A190976 A080525
Adjacent sequences: A071398 A071399 A071400 * A071402 A071403 A071404
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KEYWORD
| easy,nonn
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AUTHOR
| Rick L. Shepherd (rshepherd2(AT)hotmail.com), May 29 2002
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