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

Georg Fischer, Table of n, a(n) for n = 1..5000 [first 578 terms from K. D. Bajpai]

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

a:= n-> floor((Pi*n^3)/6):
seq(a(n),  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,easy

Author

K. D. Bajpai, Aug 19 2013

Status

approved