A335015 Smallest side lengths of equable Heronian triangles (with multiplicity).

5, 6, 6, 7, 9

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, [5,12,13], [6,8,10], [6,25,29], [7,15,20], [9,10,17].

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), this sequence (smallest side lengths), A335016 (largest side lengths).

Sequence in context: A120206 A120198 A157729 * A195875 A205852 A028314

Adjacent sequences: A335012 A335013 A335014 * A335016 A335017 A335018

Keyword

nonn,fini,full

Author

Wesley Ivan Hurt, May 19 2020

Status

approved