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A338393 Smallest perimeter of integer-sided triangles for which there exist exactly n triangles that have an integer inradius. 0
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 (list; graph; refs; listen; history; text; internal format)
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 A049598

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

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Last modified May 13 13:53 EDT 2021. Contains 343857 sequences. (Running on oeis4.)