A118902 -id:A118902 - cp's OEIS frontend

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

Giovanni Resta, May 05 2006

nonn

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

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.

Cf. A005767, A118899, A118902.

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

A118899 Surfaces of Euler bricks.

Original entry on oeis.org

87576, 334920, 350304, 391560, 693264, 788184, 993720, 1339680, 1401216, 1566240, 2189400, 2773056, 3014280, 3152736, 3524040, 3974880, 4205256, 4291224, 5358720, 5604864, 6239376, 6264960, 6881160, 7087080, 7093656, 8373000, 8757600, 8943480, 9789000, 10330080, 10596696, 11092224

Offset: 1

Giovanni Resta, May 05 2006

nonn

An Euler brick is a cuboid with integer sides and integer face diagonals.

			87576 is the surface of the Euler brick with sides 240, 117 and 44, whose face diagonals are 267, 244 and 125.

Robin Visser, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Euler Brick.

Cf. A031173, A118900, A118901, A118902.

More terms from Robin Visser, Jan 02 2024

A118900 Volumes of Euler bricks.

Original entry on oeis.org

1235520, 8078400, 9884160, 16632000, 29272320, 33359040, 46569600, 64627200, 79073280, 133056000, 154440000, 218116800, 234178560, 266872320, 302132160, 372556800, 423783360, 449064000, 517017600, 632586240, 790352640, 883396800, 900694080, 924168960, 1009800000, 1064448000

Offset: 1

Giovanni Resta, May 05 2006

nonn

An Euler brick is a cuboid with integer sides and integer face diagonals.

			1235520 is the volume of the Euler brick with sides 240, 117 and 44, whose face diagonals are 267, 244 and 125.

Robin Visser, Table of n, a(n) for n = 1..10000 (terms 1..428 from Peter T. C. Radden).
Eric Weisstein's World of Mathematics, Euler Brick.

Cf. A031173, A118899, A118901, A118902.

Terms beyond a(21) from Peter T. C. Radden, Jan 12 2013

A118904 Perimeters of rectangles with integer sides and diagonal.

Original entry on oeis.org

14, 28, 34, 42, 46, 56, 62, 68, 70, 82, 84, 92, 94, 98, 102, 112, 124, 126, 136, 138, 140, 142, 146, 154, 158, 164, 168, 170, 178, 182, 184, 186, 188, 194, 196, 204, 206, 210, 224, 226, 230, 238, 246, 248, 252, 254, 266, 272, 274, 276, 280, 282, 284, 292, 294

Offset: 1

Giovanni Resta, May 05 2006

nonn

			14 = 2*(3+4) and 3^2+4^2=5^2.

Eric Weisstein's World of Mathematics, Pythagorean Triple

Cf. A009096, A118902, A118903, A118905.

Twice A118905.

cp's OEIS Frontend

A118901 Volumes of cuboids with integer sides and main diagonal.

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A118899 Surfaces of Euler bricks.

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A118900 Volumes of Euler bricks.

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A118904 Perimeters of rectangles with integer sides and diagonal.

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