A334927 Largest possible even side length of a primitive Heronian triangle with perimeter A096468(n).
4, 6, 8, 12, 4, 10, 8, 20, 20, 10, 24, 26, 24, 6, 30, 30, 26, 28, 8, 20, 26, 30, 34, 40, 44, 48, 44, 40, 52, 52, 50, 38, 56, 28, 52, 50, 60, 20, 68, 70, 74, 60, 66, 68, 52, 80, 50, 40, 34, 68, 60, 82, 50, 84, 68, 68, 82, 92, 90, 72, 100, 80, 104, 92, 100, 74, 96, 106, 100, 104
Offset: 1
Keywords
Examples
a(1) = 4; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and its largest even side length is 4. a(6) = 10; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. The largest even side length of the two triangles is 10.
Links
- Eric Weisstein's World of Mathematics, Heronian Triangle
- Wikipedia, Heronian triangle
- Wikipedia, Integer Triangle