A331209 Largest possible area of a primitive Heronian triangle with perimeter A096468(n).

6, 12, 12, 30, 24, 60, 60, 84, 66, 84, 120, 126, 84, 60, 168, 132, 204, 210, 84, 114, 156, 180, 252, 360, 264, 420, 420, 468, 306, 330, 504, 456, 420, 630, 720, 780, 660, 408, 630, 660, 1020, 456, 924, 1170, 840, 1260, 984, 924, 1020, 1290, 522, 1320, 420, 1092, 1116, 1710

Offset: 1

Author

Wesley Ivan Hurt, May 03 2020

Keywords

• nonn

Examples

			a(1) = 6; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and its area is 6.
a(6) = 60; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13] with areas 36 and 60. The largest of these is 60.
		

Links

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

Crossrefs

Cf. A096468.