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A228391 Volume of elliptic cone (rounded down) with semi-minor axis = height = n and semi-major axis = 3*n/2. 2

%I #15 Jan 12 2014 14:29:30

%S 1,12,42,100,196,339,538,804,1145,1570,2090,2714,3451,4310,5301,6433,

%T 7717,9160,10774,12566,14547,16725,19111,21714,24543,27608,30917,

%U 34482,38310,42411,46795,51471,56449,61738,67347,73287,79565,86192,93178,100530,108260,116377

%N Volume of elliptic cone (rounded down) with semi-minor axis = height = n and semi-major axis = 3*n/2.

%H K. D. Bajpai, <a href="/A228391/b228391.txt">Table of n, a(n) for n = 1..5000</a>

%F a(n) = floor(Pi*n^3/2).

%e a(9) = 1145 since volume = ((Pi*n*1.5*n)*(n)/3) = ((Pi*9*1.5*9)*(9)/3) = 1145.110522 and floor(1145.110522) = 1145.

%p KD := proc() local a; a:= floor(((Pi*n*1.5*n)*(n)/3));

%p RETURN (a):

%p end:

%p seq(KD(),n=1..100);

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

%K nonn

%O 1,2

%A _K. D. Bajpai_, Aug 21 2013

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Last modified April 25 06:49 EDT 2024. Contains 371964 sequences. (Running on oeis4.)