A070144 Numbers n such that [A070080(n), A070081(n), A070082(n)] is a scalene integer triangle with integer area.

17, 116, 212, 252, 368, 370, 493, 561, 587, 659, 839, 850, 1156, 1186, 1196, 1297, 1582, 1599, 1629, 1912, 1920, 2115, 2352, 2555, 2574, 2713, 2774, 2778, 3251, 3473, 3728, 3746, 3751, 4286, 4298, 4307, 4313, 4319

Offset

1,1

Links

Table of n, a(n) for n=1..38.

Eric Weisstein's World of Mathematics, Heronian Triangle.

R. Zumkeller, Integer-sided triangles

Example

a(2)=116: [A070080(116), A070081(116), A070082(116)] = [6<8<10], area^2 = s*(s-6)*(s-8)*(s-10) with s=A070083(116)/2=(6+8+10)/2=12, area^2=12*6*4*2=64*9 is an integer square, therefore A070086(116)=area=8*3=24.

Crossrefs

Cf. A070142, A070145.

Sequence in context: A349879 A390964 A226688 * A070209 A070136 A196643

Adjacent sequences: A070141 A070142 A070143 * A070145 A070146 A070147

Keyword

nonn

Author

Reinhard Zumkeller, May 05 2002

Status

approved