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

1,1

Links

Table of n, a(n) for n=1..49.

Eric Weisstein's World of Mathematics, Incircle.

Example

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.

Crossrefs

Cf. A005044, A070201, A120062.

Sequence in context: A055926 A073762 A211609 * A043140 A043920 A371912

Adjacent sequences: A338390 A338391 A338392 * A338394 A338395 A338396

Keyword

nonn

Author

Bernard Schott, Oct 28 2020

Extensions

More terms from Amiram Eldar, Oct 28 2020

Status

approved