cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A228272 #21 Nov 03 2024 06:15:55
%S A228272 0,4,14,33,65,113,179,268,381,523,696,904,1150,1436,1767,2144,2572,
%T A228272 3053,3591,4188,4849,5575,6370,7238,8181,9202,10305,11494,12770,14137,
%U A228272 15598,17157,18816,20579,22449,24429,26521,28730,31059,33510,36086,38792,41629,44602
%N A228272 Volume of sphere (rounded down) with the diameter equal to n.
%H A228272 Georg Fischer, <a href="/A228272/b228272.txt">Table of n, a(n) for n = 1..5000</a> [first 578 terms from _K. D. Bajpai_]
%F A228272 a(n) = floor((Pi*n^3)/6).
%e A228272 a(6)=113 since volume is (Pi*n^3)/6 = Pi*6^3/6 = 113.0973355 and floor(113.0973355) = 113.
%p A228272 a:= n-> floor((Pi*n^3)/6):
%p A228272 seq(a(n),  n=1..100);
%Y A228272 Cf. A019673 (Pi/6).
%Y A228272 Cf. A066645 (volume with radius n).
%Y A228272 Cf. A228189 (similar sequence for right circular cone).
%K A228272 nonn,easy
%O A228272 1,2
%A A228272 _K. D. Bajpai_, Aug 19 2013