A331366 Number of Heronian triangles with mutually distinct side lengths and perimeter A334665(n).

1, 1, 1, 1, 2, 1, 2, 1, 2, 3, 1, 3, 2, 1, 1, 2, 3, 1, 1, 3, 8, 1, 4, 4, 3, 1, 2, 10, 1, 5, 1, 5, 3, 6, 1, 9, 2, 5, 6, 6, 2, 3, 5, 6, 8, 1, 10, 1, 1, 1, 6, 8, 3, 2, 2, 12, 8, 4, 6, 5, 4, 11, 14, 5, 1, 11, 7, 3, 1, 6, 1, 2, 14, 11, 1, 9, 14, 11, 1, 4, 11, 3, 1, 11, 4, 2, 7, 4, 12

Offset: 1

Author

Wesley Ivan Hurt, May 07 2020

Keywords

• nonn

Examples

			a(1) = 1; there is one Heronian triangle with perimeter A334665(1) = 12 such that all side lengths are mutually distinct, [3,4,5].
a(4) = 1; there is one Heronian triangle with perimeter A334665(4) = 32 such that all side lengths are mutually distinct, [4,13,15].
		

Links

• Eric Weisstein's World of Mathematics, Heronian Triangle
• Wikipedia, Heronian triangle
• Wikipedia, Integer Triangle

Crossrefs

Cf. A051516, A051518, A334665.