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A224302 Sorted perimeters of primitive Heronian triangles. 0
12, 16, 18, 30, 32, 36, 36, 40, 42, 42, 44, 48, 50, 50, 54, 54, 54, 56, 60, 64, 64, 64, 66, 68, 70, 70, 72, 76, 78, 80, 80, 84, 84, 84, 84, 84, 90, 90, 90, 96, 98, 98, 98, 98, 98, 98, 100, 100, 100, 104, 104, 108, 108, 108, 108, 108, 110, 112, 112, 112, 112 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Here a primitive Heronian triangle has integer sides a,b,c with GCD(a,b,c) = 1 and integral area.

LINKS

Table of n, a(n) for n=1..61.

Michael Somos, Heronian Triangle Table

Wikipedia, Heronian triangle

EXAMPLE

a(1)=12 as it is the perimeter of Heronian triangle having sides 3,4,5.

a(2)=16 as it is the perimeter of Heronian triangle having sides 5,5,6.

CROSSREFS

Cf. A120131, A120132, A120133, A224301.

Sequence in context: A097620 A112548 A032620 * A096468 A054281 A171955

Adjacent sequences:  A224299 A224300 A224301 * A224303 A224304 A224305

KEYWORD

nonn

AUTHOR

Mihir Mathur, Apr 04 2013

EXTENSIONS

Corrected and extended by Giovanni Resta, Apr 04 2013

STATUS

approved

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Last modified October 18 12:18 EDT 2019. Contains 328160 sequences. (Running on oeis4.)