A138604 Short legs of more than two primitive Pythagorean triangles.

60, 84, 105, 120, 132, 140, 156, 165, 168, 180, 195, 204, 220, 228, 231, 240, 252, 255, 260, 264, 273, 276, 280, 285, 300, 308, 312, 315, 336, 340, 345, 348, 357, 360, 364, 372, 380, 385, 396, 399, 408, 420, 429, 435, 440, 444, 455, 456, 460, 465, 468, 476

Offset

1,1

Links

Ray Chandler, Table of n, a(n) for n = 1..10000

Example

60, 91,109; 60,221,229; 60, 899, 901;
84,187,205; 84, 437, 445; 84,1763,1765;
105,208,233; 105, 608, 617; 105,5512,5513;
120,209,241; 120, 391, 409; 120,3599,3601;
132,475,493; 132,1085,1093; 132,4355,4357;
140,171,221; 140,1221,1229; 140,4899,4901;
156,667,685; 156,1517,1525; 156,6083,6085;

Mathematica

lst = {}; aa = aaa = 1; For[a=1, a<=500, For[b=a+1, ((b+1)^2-b^2)<=a^2, c=(a^2+b^2)^0.5; If[c==Round[c]&&GCD[a, b]==1, If[a == aaa, Print[a]; AppendTo[lst, a]]; aaa=aa; aa=a; ]; b++ ]; a++ ]; Union[lst]

Crossrefs

Sequence in context: A086974 A099831 A306222 * A350140 A291125 A337688

Adjacent sequences: A138601 A138602 A138603 * A138605 A138606 A138607

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, May 13 2008

Extensions

More terms Vladimir Joseph Stephan Orlovsky, Jan 24 2009

More terms from Ray Chandler, Jan 22 2020

Status

approved