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A051518 There exists a triangle of perimeter n having integer sides and area. 7
12, 16, 18, 24, 30, 32, 36, 40, 42, 44, 48, 50, 54, 56, 60, 64, 66, 68, 70, 72, 76, 78, 80, 84, 88, 90, 96, 98, 100, 104, 108, 110, 112, 114, 120, 126, 128, 130, 132, 136, 140, 144, 150, 152, 154, 156, 160, 162, 164, 168, 170, 172, 174, 176, 180, 182, 186, 190, 192, 196, 198, 200, 204 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A triangle with integer sides and area is also called a Heronian triangle, and every such triangle can be positioned in the plane so that its three vertices have integer coordinates. - Peter Kagey, Jan 24 2018

LINKS

Peter Kagey and Giovanni Resta, Table of n, a(n) for n = 1..10000 (first 1000 terms from Peter Kagey)

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

CROSSREFS

Cf. A096468, A298079.

Sequence in context: A080258 A054290 A107308 * A043544 A097620 A089021

Adjacent sequences:  A051515 A051516 A051517 * A051519 A051520 A051521

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified August 18 07:39 EDT 2019. Contains 326075 sequences. (Running on oeis4.)