A334920 Sum of the even side lengths of all primitive Heronian triangles with perimeter A096468(n).
4, 6, 8, 12, 4, 20, 8, 34, 20, 10, 40, 58, 24, 6, 74, 30, 26, 48, 8, 20, 26, 46, 112, 116, 44, 226, 104, 80, 180, 52, 148, 38, 56, 28, 176, 50, 250, 20, 134, 178, 278, 60, 166, 172, 84, 506, 50, 40, 34, 68, 60, 296, 50, 194, 130, 106, 372, 494, 148, 228, 252, 158, 552, 224
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 even side length is 4. a(6) = 20; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. The sum of the even side lengths is 10 + 10 = 20.
Links
- Eric Weisstein's World of Mathematics, Heronian Triangle
- Wikipedia, Heronian triangle
- Wikipedia, Integer Triangle