A334665 Perimeters of Heronian triangles with mutually distinct side lengths.

12, 24, 30, 32, 36, 40, 42, 44, 48, 54, 56, 60, 64, 66, 68, 70, 72, 76, 78, 80, 84, 88, 90, 96, 98, 100, 104, 108, 110, 112, 114, 120, 126, 128, 130, 132, 136, 140, 144, 150, 152, 154, 156, 160, 162, 164, 168, 170, 172, 174, 176, 180, 182, 186, 190, 192, 196, 198, 200, 204

Offset

1,1

Links

Table of n, a(n) for n=1..60.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Example

a(1) = 12; there is one Heronian triangle with perimeter 12 such that all side lengths are mutually distinct, [3,4,5].
a(4) = 32; there is one Heronian triangle with perimeter 32 such that all side lengths are mutually distinct, [4,13,15].

Crossrefs

Cf. A051516, A051518.

Sequence in context: A108902 A126935 A333918 * A333945 A335146 A365008

Adjacent sequences: A334662 A334663 A334664 * A334666 A334667 A334668

Keyword

nonn

Author

Wesley Ivan Hurt, May 07 2020

Status

approved