A338393 Smallest perimeter of integer-sided triangles for which there exist exactly n triangles that have an integer inradius.

12, 36, 60, 162, 108, 180, 228, 84, 132, 168, 210, 640, 252, 448, 504, 612, 462, 480, 396, 1050, 1008, 630, 672, 1632, 756, 792, 1380, 420, 1740, 1232, 1584, 1560, 1188, 1540, 2052, 1428, 1820, 840, 1620, 1320, 1890, 3612, 2912, 2280, 1092, 924, 2340, 2730, 3220

Offset: 1

Author

Bernard Schott, Oct 28 2020

Keywords

• nonn

Examples

			a(1) = 12 because (3,4,5) is the smallest integer-sided triangle with an integer inradius and this integer radius = 1.
a(2) = 36 and the 2 corresponding triangles are (9,10,17) with r=2 and (9,12,15) with r=3.
a(3) = 60 and the 3 corresponding triangles are (6,25,29) with r=2, (10,24,26) with r=4 and (15,20,25) with r=5.
		

Links

• Eric Weisstein's World of Mathematics, Incircle.

Crossrefs

Cf. A005044, A070201, A120062.

Extensions

More terms from Amiram Eldar, Oct 28 2020