A334934 Largest possible odd side length of a primitive Heronian triangle with perimeter A096468(n).
5, 5, 5, 13, 15, 17, 17, 15, 13, 21, 17, 25, 25, 29, 29, 25, 25, 29, 35, 37, 37, 39, 41, 41, 37, 45, 41, 51, 53, 33, 53, 51, 39, 53, 61, 41, 65, 65, 65, 65, 73, 73, 75, 75, 75, 73, 73, 77, 75, 61, 85, 87, 89, 89, 87, 87, 95, 97, 97, 97, 101, 101, 101, 97, 109, 87, 111, 113
Offset: 1
Keywords
Examples
a(1) = 5; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and the largest odd side lengths is 5. a(6) = 17; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. The largest odd side length of the two triangles is 17.
Links
- Eric Weisstein's World of Mathematics, Heronian Triangle
- Wikipedia, Heronian triangle
- Wikipedia, Integer Triangle