A228189 Volume of right circular cone (rounded down) with the diameter of base and height equal to n.

0, 2, 7, 16, 32, 56, 89, 134, 190, 261, 348, 452, 575, 718, 883, 1072, 1286, 1526, 1795, 2094, 2424, 2787, 3185, 3619, 4090, 4601, 5152, 5747, 6385, 7068, 7799, 8578, 9408, 10289, 11224, 12214, 13260, 14365, 15529, 16755, 18043, 19396, 20814, 22301, 23856, 25482

Offset

1,2

Links

Georg Fischer, Table of n, a(n) for n = 1..1000 [first 574 terms from K. D. Bajpai]

Formula

a(n) = floor((Pi*n^3)/12).

Example

a(3) = 7 because volume = ((Pi*n^2)/4)*(n/3) = ((Pi*3*3)/4)*(3/3) = 7.06858 and floor(7.06858) = 7.

Maple

a:= n-> floor((Pi*n^3)/12):
seq(a(n), n=1..48);

Mathematica

Table[Floor[(Pi n^3)/12], {n, 50}] (* Harvey P. Dale, May 25 2019 *)

Prog

(PARI) a(n)=Pi*n^3\12 \\ Charles R Greathouse IV, Aug 25 2014

Crossrefs

Sequence in context: A241526 A074470 A216499 * A023550 A332232 A333395

Adjacent sequences: A228186 A228187 A228188 * A228190 A228191 A228192

Keyword

nonn,easy

Author

K. D. Bajpai, Aug 17 2013

Status

approved