A330869 Perimeters of Heronian triangles with squarefree side lengths.

16, 36, 42, 48, 64, 78, 80, 84, 100, 108, 112, 132, 140, 144, 150, 154, 176, 182, 186, 190, 192, 196, 198, 208, 210, 222, 228, 240, 242, 250, 252, 256, 266, 270, 272, 276, 286, 292, 294, 304, 320, 322, 324, 330, 336, 338, 350, 356, 366, 368, 370, 372, 378, 396, 400

Offset

1,1

Comments

Not the same as A334538 (this sequence includes 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 Heronian triangle with perimeter 16 whose side lengths are squarefree, [5,5,6].
a(2) = 36; there is one Heronian triangle with perimeter 36 whose side lengths are squarefree, [10,13,13].

Crossrefs

Cf. A333840, A334538.

Cf. A008683, A335223, A335224.

Sequence in context: A183196 A109287 A294155 * A334538 A066112 A223456

Adjacent sequences: A330866 A330867 A330868 * A330870 A330871 A330872

Keyword

nonn

Author

Wesley Ivan Hurt, May 05 2020

Status

approved