A334538 Perimeters of primitive Heronian triangles with squarefree side lengths.

16, 36, 42, 48, 64, 78, 80, 84, 100, 112, 132, 140, 144, 150, 154, 176, 182, 186, 190, 192, 196, 198, 208, 210, 222, 228, 240, 242, 250, 256, 266, 270, 272, 276, 286, 292, 294, 304, 320, 322, 324, 330, 336, 338, 350, 356, 366, 370, 372, 378, 400, 402, 406, 410, 420

Offset

1,1

Comments

Not the same as A330869 (this sequence excludes 108, 252, 396, ..., etc.).

Links

Table of n, a(n) for n=1..55.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Example

a(1) = 16; there is one primitive Heronian triangle with a perimeter of 16 whose side lengths are squarefree, which is [5,5,6].
a(2) = 36; there is one primitive Heronian triangle with a perimeter of 36 whose side lengths are squarefree, [10,13,13].

Crossrefs

Cf. A330869, A333840.

Sequence in context: A109287 A294155 A330869 * A066112 A223456 A377563

Adjacent sequences: A334535 A334536 A334537 * A334539 A334540 A334541

Keyword

nonn

Author

Wesley Ivan Hurt, May 05 2020

Status

approved