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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
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
Eric Weisstein's World of Mathematics, 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
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, May 23 2020
EXTENSIONS
Terms a(10) and beyond from Giovanni Resta, May 23 2020
STATUS
approved