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A055595 Area of congruent triangles with integer sides and positive integer area, ordered by longest side, then second longest side and finally shortest side. +0
9
6, 12, 12, 24, 48, 30, 60, 54, 24, 84, 48, 36, 60, 120, 108, 66, 42, 96, 84, 126, 60, 108, 192, 90, 150, 84, 168, 120, 36, 204, 240, 210, 210, 60, 120, 216, 132, 300, 96, 336, 72, 192, 144, 240, 480, 294, 84, 252, 360, 432, 114, 156, 180, 210, 420, 120, 210, 420 (list; graph; listen)
OFFSET

0,1

LINKS

A. Dendane, Heron's Formula For Area of a Triangle-Geometry Calculator

FORMULA

a(n) = sqrt(s(n)*(s(n)-A055592(n))*(s(n)-A055593(n))*(s(n)-A055594(n))) where s(n) = (A055592(n)+A055593(n)+A055594(n))/2 i.e. half the perimeter of the triangle

CROSSREFS

Cf. A055592, A055593, A055594, A055595.

Sequence in context: A129858 A061928 A070149 this_sequence A132632 A063648 A063722

Adjacent sequences: A055592 A055593 A055594 this_sequence A055596 A055597 A055598

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), May 26 2000

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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