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

Author

K. D. Bajpai, Aug 19 2013

Keywords

• nonn
• easy

Examples

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

Links

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

Crossrefs

Cf. A019673 (Pi/6).

Cf. A066645 (volume with radius n).

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

Programs

Maple

a:= n-> floor((Pi*n^3)/6):
seq(a(n),  n=1..100);

Formula

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