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A334538 Perimeters of primitive Heronian triangles with squarefree side lengths. 2
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 (list; graph; refs; listen; history; text; internal format)
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 A103843

Adjacent sequences:  A334535 A334536 A334537 * A334539 A334540 A334541

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, May 05 2020

STATUS

approved

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Last modified January 26 11:58 EST 2022. Contains 350598 sequences. (Running on oeis4.)