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A057671
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a(n) equals floor(Vc(n) - Vs(n)), where Vc(n) is the volume of the cube with side length n and Vs(n) is the volume of the sphere of diameter n.
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0
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0, 3, 12, 30, 59, 102, 163, 243, 347, 476, 634, 823, 1046, 1307, 1607, 1951, 2340, 2778, 3267, 3811, 4411, 5072, 5796, 6585, 7443, 8373, 9377, 10457, 11618, 12862, 14192, 15610, 17120, 18724, 20425, 22226, 24131
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n) = floor(n^3*(1-pi/6))
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EXAMPLE
| a(7)=163 because 163=floor(7^3*(1-pi/6))
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MATHEMATICA
| Table[Floor[n^3 (1-\[Pi]/6)], {n, 40}] (* From Harvey P. Dale, Apr 24 2011 *)
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CROSSREFS
| Sequence in context: A101459 A051408 A164013 * A027480 A135503 A048088
Adjacent sequences: A057668 A057669 A057670 * A057672 A057673 A057674
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KEYWORD
| nonn
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AUTHOR
| seiringer.flor(AT)eudoramail.com, Oct 18 2000
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EXTENSIONS
| Edited by James Sellers, Oct 20, 2000.
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