A330922 Largest possible area of a Heronian triangle with perimeter A051518(n).

6, 12, 12, 24, 30, 48, 60, 60, 84, 66, 108, 120, 126, 84, 150, 192, 132, 204, 210, 240, 114, 156, 300, 336, 264, 360, 432, 420, 480, 468, 540, 330, 588, 456, 600, 756, 768, 780, 726, 816, 840, 972, 1080, 456, 924, 1170, 1200, 1260, 984, 1344, 1020, 1290, 522, 1452

Offset: 1

Author

Wesley Ivan Hurt, May 02 2020

Keywords

• nonn

Examples

			a(1) = 6; there is one Heronian triangle with perimeter A051518(1) = 12, which is [3,4,5] and its area is 3*4/2 = 6.
a(6) = 48; there are two Heronian triangles with perimeter A051518(6) = 32, [4,13,15] and [10,10,12], with areas 24 and 48. The largest area of the two triangles is 48.
		

Links

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

Crossrefs

Cf. A051516, A051518, A070138, A096468, A298079, A298614, A305717.

Cf. A330912, A330915, A330916, A330921.