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A070137 Numbers n such that [A070080(n), A070081(n), A070082(n)] is a right integer triangle with relatively prime side lengths. 5
17, 212, 493, 1297, 2574, 4298, 5251, 14414, 16365, 21231, 26125, 39056, 42597, 55042, 63770 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Right integer triangles have integer areas: see A070143.

LINKS

Table of n, a(n) for n=1..15.

Eric Weisstein's World of Mathematics, Heronian Triangle.

Eric Weisstein's World of Mathematics, Right Triangle.

R. Zumkeller, Integer-sided triangles

EXAMPLE

a(3)=493: [A070080(493), A070081(493), A070082(493)]=[8,15,17], A070084(493)=gcd(8,15,17)=1, A070085(493)=8^2+15^2-17^2=64+225-289=0.

CROSSREFS

Cf. A070109, A070136.

Sequence in context: A016299 A016250 A255819 * A021054 A016246 A009441

Adjacent sequences:  A070134 A070135 A070136 * A070138 A070139 A070140

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, May 05 2002

STATUS

approved

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Last modified February 16 02:32 EST 2019. Contains 320140 sequences. (Running on oeis4.)