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A334825 Perimeters of Heronian triangles with exactly 2 square side lengths. 6
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 (list; graph; refs; listen; history; text; internal format)
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 A057442 A141817

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

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Last modified January 18 11:57 EST 2022. Contains 350455 sequences. (Running on oeis4.)