A070146 Numbers n such that [A070080(n), A070081(n), A070082(n)] is an acute integer triangle with integer area.

39, 269, 375, 587, 862, 972, 1196, 1955, 1988, 2352, 2555, 2796, 3818, 4319, 4406, 5378, 6522, 6808, 6880, 6890, 6921, 7234, 7360, 8193, 9159, 9207, 10272, 14545, 15004, 15061, 15101, 15216, 15237, 15943, 16502

Offset

1,1

Links

Table of n, a(n) for n=1..35.

Eric Weisstein's World of Mathematics, Heronian Triangle.

Eric Weisstein's World of Mathematics, Acute Triangle.

R. Zumkeller, Integer-sided triangles

Example

a(1)=39: [A070080(39), A070081(39), A070082(39)] = [5,5,6]: A070085(39)=5^2+5^2-6^2=14>0 and area^2 = s*(s-5)*(s-5)*(s-6) with s=A070083(39)/2=(5+5+6)/2=8, area^2=8*3*3*2=16*9 is an integer square, therefore A070086(39)=area=4*3=12.

Crossrefs

Cf. A070142, A070136, A070147, A070140.

Sequence in context: A190606 A101627 A229639 * A372930 A327344 A190537

Adjacent sequences: A070143 A070144 A070145 * A070147 A070148 A070149

Keyword

nonn

Author

Reinhard Zumkeller, May 05 2002

Status

approved