A331264 Largest possible side length, c, of a primitive Heronian triangle with perimeter A096468(n), such that a <= b <= c.

5, 6, 8, 13, 15, 17, 17, 20, 20, 21, 24, 26, 25, 29, 30, 30, 26, 29, 35, 37, 37, 39, 41, 41, 44, 48, 44, 51, 53, 52, 53, 51, 56, 53, 61, 50, 65, 65, 68, 70, 74, 73, 75, 75, 75, 80, 73, 77, 75, 68, 85, 87, 89, 89, 87, 87, 95, 97, 97, 97, 101, 101, 104, 97, 109, 87, 111

Offset: 1

Author

Wesley Ivan Hurt, May 03 2020

Keywords

• nonn

Examples

			a(1) = 5; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and its longest side length is 5.
a(6) = 17; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13] with longest side lengths 17 and 13. The largest of these is 17.
		

Links

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

Crossrefs

Cf. A096468.

Cf. A331210, A331263.