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

1,1

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.

Example

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

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 *)

Crossrefs

Cf. A005767, A118899, A118902.

Sequence in context: A196250 A290809 A068088 * A275713 A114076 A078092

Adjacent sequences: A118898 A118899 A118900 * A118902 A118903 A118904

Keyword

nonn

Author

Giovanni Resta, May 05 2006

Status

approved