A334825 Perimeters of Heronian triangles with exactly 2 square side lengths.

64, 80, 90, 98, 256, 320, 360, 392, 468, 576, 578, 650, 680, 720, 722, 810, 848, 850, 882, 900, 1024, 1040, 1058, 1088, 1170, 1280, 1440, 1458, 1568, 1600, 1690, 1764, 1872, 1922, 2000, 2048, 2106, 2250, 2304, 2312, 2420, 2450, 2592, 2600, 2720, 2754, 2842, 2880

Offset

1,1

Comments

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

Links

Giovanni Resta, Table of n, a(n) for n = 1..4000

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Example

64 is the perimeter of the triangle (5^2, 5^2, 14);
80 is the perimeter of the triangles (30, 5^2, 5^2) and (39, 5^2, 4^2);
90 is the perimeter of the triangles (6^2, 29, 5^2) and (40, 5^2, 5^2).

Crossrefs

Cf. A010052, A334606, A335100.

Sequence in context: A162528 A057371 A045286 * A057372 A374938 A057442

Adjacent sequences: A334822 A334823 A334824 * A334826 A334827 A334828

Keyword

nonn

Author

Wesley Ivan Hurt, May 23 2020

Extensions

Terms a(10) and beyond from Giovanni Resta, May 23 2020

Status

approved