A335016 Largest side lengths of equable Heronian triangles.

10, 13, 17, 20, 29

Offset

1,1

Comments

Equable Heronian triangles are triangles with integer sides, integer area and whose area is equal to their perimeter. There are exactly five, [6,8,10], [5,12,13], [9,10,17], [7,15,20], [6,25,29].

Links

Table of n, a(n) for n=1..5.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Crossrefs

Cf. A098030 (areas/perimeters), A335013 (middle side lengths), A335015 (smallest side lengths), this sequence (largest side lengths).

Sequence in context: A306035 A339077 A373278 * A240109 A163652 A081642

Adjacent sequences: A335013 A335014 A335015 * A335017 A335018 A335019

Keyword

nonn,fini,full

Author

Wesley Ivan Hurt, May 19 2020

Status

approved