A118901 Volumes of cuboids with integer sides and main diagonal.

4, 32, 36, 108, 112, 140, 144, 220, 252, 256, 288, 364, 396, 400, 500, 540, 608, 612, 644, 756, 832, 864, 896, 900, 972, 1012, 1120, 1152, 1292, 1364, 1372, 1404, 1408, 1508, 1620, 1728, 1760, 1764, 1872, 1904, 1980, 1984

Offset: 1

Author

Giovanni Resta, May 05 2006

Keywords

• nonn

Examples

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

Links

• Robin Visser, Table of n, a(n) for n = 1..10000 (terms n = 1..100 from Harvey P. Dale).
• Eric Weisstein's World of Mathematics, Cuboid.

Crossrefs

Cf. A005767, A118899, A118902.

Programs

Mathematica

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