A334825 - OEIS

%I #28 Feb 01 2021 18:41:01

%S 64,80,90,98,256,320,360,392,468,576,578,650,680,720,722,810,848,850,

%T 882,900,1024,1040,1058,1088,1170,1280,1440,1458,1568,1600,1690,1764,

%U 1872,1922,2000,2048,2106,2250,2304,2312,2420,2450,2592,2600,2720,2754,2842,2880

%N Perimeters of Heronian triangles with exactly 2 square side lengths.

%C The smallest perimeters corresponding to 1,2,...,13 triangles are 64, 80, 576, 2304, 14400, 9680, 129600, 57600, 451584, 230400, 921600, 518400, 705600. - _Giovanni Resta_, May 23 2020

%H Giovanni Resta, <a href="/A334825/b334825.txt">Table of n, a(n) for n = 1..4000</a>

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

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Heronian_triangle">Heronian triangle</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>

%e 64 is the perimeter of the triangle (5^2, 5^2, 14);

%e 80 is the perimeter of the triangles (30, 5^2, 5^2) and (39, 5^2, 4^2);

%e 90 is the perimeter of the triangles (6^2, 29, 5^2) and (40, 5^2, 5^2).

%Y Cf. A010052, A334606, A335100.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 23 2020

%E Terms a(10) and beyond from _Giovanni Resta_, May 23 2020