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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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1
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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
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = floor(n^3*(1-Pi/6)).
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EXAMPLE
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a(7)=163 because 163=floor(7^3*(1-Pi/6)).
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MATHEMATICA
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Table[Floor[n^3 (1-\[Pi]/6)], {n, 40}] (* Harvey P. Dale, Apr 24 2011 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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seiringer.flor(AT)eudoramail.com, Oct 18 2000
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EXTENSIONS
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STATUS
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approved
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