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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
OFFSET
1,1
LINKS
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
KEYWORD
nonn
AUTHOR
Bernard Schott, Oct 28 2020
EXTENSIONS
More terms from Amiram Eldar, Oct 28 2020
STATUS
approved