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A334120
Sum of the largest side lengths of all primitive Heronian triangles with perimeter A096468(n).
2
5, 6, 8, 13, 15, 30, 17, 35, 20, 21, 41, 72, 25, 29, 85, 30, 26, 57, 35, 37, 37, 76, 191, 117, 44, 250, 127, 91, 260, 52, 202, 51, 56, 53, 220, 50, 364, 65, 196, 266, 342, 73, 206, 203, 148, 568, 73, 77, 75, 68, 85, 404, 89, 256, 172, 155, 601, 702, 273, 350, 301, 190, 589
OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Heronian Triangle
Wikipedia, Integer Triangle
EXAMPLE
a(1) = 5; there is one primitive Heronian triangle with perimeter A096468(1) = 12, [3,4,5] and 5 is the largest side length.
a(6) = 30; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. The sum of the largest side lengths is then 17 + 13 = 30.
CROSSREFS
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, May 16 2020
STATUS
approved