A334120 Sum of the largest side lengths of all primitive Heronian triangles with perimeter A096468(n).

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

Author

Wesley Ivan Hurt, May 16 2020

Keywords

• nonn

Examples

			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.
		

Links

• Eric Weisstein's World of Mathematics, Heronian Triangle
• Wikipedia, Heronian triangle
• Wikipedia, Integer Triangle

Crossrefs

Cf. A096468, A330874, A334018.