A317182 Numbers k such that k = 16*area(T)^2 for an integer triangle, T.

3, 15, 35, 48, 63, 99, 128, 135, 143, 195, 231, 240, 243, 255, 275, 320, 323, 351, 384, 399, 455, 483, 495, 560, 575, 576, 663, 675, 735, 768, 783, 819, 855, 896, 899, 935, 975, 1008, 1023, 1071, 1155, 1215, 1235, 1280, 1295, 1311, 1344, 1443, 1463, 1536, 1539

Offset: 1

Author

N. J. A. Sloane, Jul 25 2018

Keywords

• nonn

Comments

The possible lengths of the chord connecting the cusps of the lens-like intersection area between two circles with integer radii and integer distance d between their centers are of the form sqrt(a(n))/d. - Hugo Pfoertner, Sep 05 2020

Links

• Lars Blomberg, Table of n, a(n) for n = 1..10000
• Eric Weisstein's World of Mathematics, Circle-Circle Intersection

Crossrefs

Cf. A316841.

Sorted and uniqued values of A135622 or A316853.

Extensions

More terms from Lars Blomberg, Apr 25 2019

Name edited by Peter Munn, Jul 30 2025