A331368 Number of primitive Heronian triangles with mutually distinct side lengths and perimeter A331367(n).
1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 3, 1, 3, 1, 2, 5, 1, 4, 1, 1, 1, 4, 1, 6, 1, 3, 2, 5, 1, 3, 3, 2, 5, 1, 1, 1, 1, 1, 5, 1, 3, 2, 2, 7, 5, 3, 4, 3, 2, 6, 3, 3, 1, 5, 4, 3, 1, 5, 1, 2, 6, 11, 1, 9, 4, 5, 1, 3, 2, 3, 1, 4, 2, 1, 4, 4, 2, 1, 13, 2, 8, 2, 7
Offset: 1
Keywords
Examples
a(1) = 1; there is one primitive Heronian triangle with perimeter A331367(1) = 12 whose side lengths are mutually distinct, [3,4,5]. a(2) = 1; there is one primitive Heronian triangle with perimeter A331367(2) = 30 whose side lengths are mutually distinct, [5,12,13].
Links
- Eric Weisstein's World of Mathematics, Heronian Triangle
- Wikipedia, Heronian triangle
- Wikipedia, Integer Triangle