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A057671 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. 1
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; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(n) = floor(n^3*(1-Pi/6)).
EXAMPLE
a(7)=163 because 163=floor(7^3*(1-Pi/6)).
MATHEMATICA
Table[Floor[n^3 (1-\[Pi]/6)], {n, 40}] (* Harvey P. Dale, Apr 24 2011 *)
CROSSREFS
Cf. A057672.
Sequence in context: A051408 A331080 A164013 * A027480 A135503 A048088
KEYWORD
nonn
AUTHOR
seiringer.flor(AT)eudoramail.com, Oct 18 2000
EXTENSIONS
Edited by James A. Sellers, Oct 20 2000
STATUS
approved

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Last modified March 19 07:49 EDT 2024. Contains 370958 sequences. (Running on oeis4.)