A228272 Volume of sphere (rounded down) with the diameter equal to n.

0, 4, 14, 33, 65, 113, 179, 268, 381, 523, 696, 904, 1150, 1436, 1767, 2144, 2572, 3053, 3591, 4188, 4849, 5575, 6370, 7238, 8181, 9202, 10305, 11494, 12770, 14137, 15598, 17157, 18816, 20579, 22449, 24429, 26521, 28730, 31059, 33510, 36086, 38792, 41629, 44602

Offset

1,2

Links

K. D. Bajpai, Table of n, a(n) for n = 1..5000

Formula

a(n) = floor((Pi*n^3)/6)).

Example

a(6)=113 since volume is (Pi*n^3)/6 = Pi*6^3/6 = 113.0973355 and floor(113.0973355) = 113.

Maple

KD := proc() local a; a:= floor(evalf((Pi*n^3)/6));
RETURN (a):
end:
seq(KD(), n=1..100);

Crossrefs

Cf. A019673 (Pi/6).

Cf. A066645 (volume with radius n).

Cf. A228189 (similar sequence for right circular cone).

Sequence in context: A078432 A124786 A322009 * A011935 A266020 A351930

Adjacent sequences: A228269 A228270 A228271 * A228273 A228274 A228275

Keyword

nonn

Author

K. D. Bajpai, Aug 19 2013

Status

approved