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

2

`%I #13 Feb 01 2021 18:14:52
`

`%S 12,16,18,30,32,36,40,42,44,48,50,54,56,60,64,66,68,70,72,76,78,80,84,
`

`%T 90,96,98,100,104,108,110,112,114,120,126,128,130,132,140,144,150,152,
`

`%U 154,156,160,162,164,168,170,172,174,176,180,182,186,190,192,196,198,200,204
`

`%N Perimeters of Heronian triangles where the lengths of the smallest and largest sides are coprime.
`

`%C This sequence includes the perimeters of all primitive Heronian triangles (A096468). First differs from A096468 at a(38) = 140.
`

`%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HeronianTriangle.html">Heronian Triangle</a>
`

`%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Heronian_triangle">Heronian triangle</a>
`

`%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>
`

`%e a(1) = 12; there is one Heronian triangle with perimeter 12, which is [3,4,5] and the lengths of the smallest and largest sides are coprime (GCD(3,5) = 1).
`

`%e 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).
`

`%Y Cf. A051518, A096468, A334984, A334989.
`

`%K nonn
`

`%O 1,1
`

`%A _Wesley Ivan Hurt_, May 18 2020
`

Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents

The OEIS Community | Maintained by The OEIS Foundation Inc.