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.

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

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%I A228189 #33 Nov 03 2024 06:16:14
%S A228189 0,2,7,16,32,56,89,134,190,261,348,452,575,718,883,1072,1286,1526,
%T A228189 1795,2094,2424,2787,3185,3619,4090,4601,5152,5747,6385,7068,7799,
%U A228189 8578,9408,10289,11224,12214,13260,14365,15529,16755,18043,19396,20814,22301,23856,25482
%N A228189 Volume of right circular cone (rounded down) with the diameter of base and height equal to n.
%H A228189 Georg Fischer, <a href="/A228189/b228189.txt">Table of n, a(n) for n = 1..1000</a> [first 574 terms from _K. D. Bajpai_]
%F A228189 a(n) = floor((Pi*n^3)/12).
%e A228189 a(3) = 7 because volume = ((Pi*n^2)/4)*(n/3) = ((Pi*3*3)/4)*(3/3) = 7.06858 and floor(7.06858) = 7.
%p A228189 a:= n-> floor((Pi*n^3)/12):
%p A228189 seq(a(n), n=1..48);
%t A228189 Table[Floor[(Pi n^3)/12],{n,50}] (* _Harvey P. Dale_, May 25 2019 *)
%o A228189 (PARI) a(n)=Pi*n^3\12 \\ _Charles R Greathouse IV_, Aug 25 2014
%K A228189 nonn,easy
%O A228189 1,2
%A A228189 _K. D. Bajpai_, Aug 17 2013