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A330869
Perimeters of Heronian triangles with squarefree side lengths.
12
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
Eric Weisstein's World of Mathematics, 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
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, May 05 2020
STATUS
approved