A334984 Perimeters of Heronian triangles where the lengths of the middle and largest sides are coprime.

12, 16, 18, 30, 32, 36, 40, 42, 44, 48, 50, 54, 56, 60, 64, 68, 70, 72, 76, 78, 80, 84, 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, 176, 180, 182, 186, 190, 192, 196, 198, 200, 204, 208

Offset

1,1

Comments

This sequence includes the perimeters of all primitive Heronian triangles (A096468). First differs from A096468 at a(16) = 68.

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, which is [3,4,5] and the lengths of the middle and largest sides are coprime (GCD(4,5) = 1).
a(5) = 32; there is one Heronian triangle with perimeter 32, [4,13,15] and the lengths of the smallest and middle sides are coprime (GCD(4,13) = 1).

Crossrefs

Cf. A051518, A096468, A334983, A334989.

Sequence in context: A224302 A096468 A334983 * A334338 A334584 A054281

Adjacent sequences: A334981 A334982 A334983 * A334985 A334986 A334987

Keyword

nonn

Author

Wesley Ivan Hurt, May 18 2020

Status

approved