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A118901 Volumes of cuboids with integer sides and main diagonal. 5

%I

%S 4,32,36,108,112,140,144,220,252,256,288,364,396,400,500,540,608,612,

%T 644,756,832,864,896,900,972,1012,1120,1152,1292,1364,1372,1404,1408,

%U 1508,1620,1728,1760,1764,1872,1904,1980,1984

%N Volumes of cuboids with integer sides and main diagonal.

%H Harvey P. Dale, <a href="/A118901/b118901.txt">Table of n, a(n) for n = 1..100</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Cuboid.html">Cuboid.</a>

%e 32 is the volume of the cuboid of sides 8,4,1 which has main diagonal = 9.

%t With[{nn=50},Take[Union[Times@@@Select[Union[Sort/@Tuples[Range[ 2nn],3]], IntegerQ[ Sqrt[ Total[#^2] ]]&]],nn]] (* _Harvey P. Dale_, Jun 05 2016 *)

%Y Cf. A005767, A118899, A118902.

%K nonn

%O 1,1

%A _Giovanni Resta_, May 05 2006

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Last modified September 17 10:52 EDT 2019. Contains 327129 sequences. (Running on oeis4.)