A334675 Number of nonprimitive Heronian triangles with mutually distinct side lengths and perimeter A334674(n).

1, 1, 1, 2, 1, 2, 1, 3, 1, 1, 3, 5, 1, 4, 2, 2, 3, 1, 2, 4, 1, 1, 2, 4, 3, 9, 1, 7, 5, 3, 1, 2, 2, 2, 5, 11, 2, 6, 3, 1, 8, 10, 6, 1, 9, 7, 2, 1, 7, 8, 5, 9, 2, 4, 7, 7, 15, 1, 3, 15, 2, 1, 1, 2, 2, 7, 11, 3, 3, 6, 3, 16, 3, 9, 13, 8, 6, 5, 21, 17, 6, 2, 12, 9, 8, 3, 6, 1, 11, 1

Offset: 1

Author

Wesley Ivan Hurt, May 07 2020

Keywords

• nonn

Examples

			a(1) = 1; there is one nonprimitive Heronian triangle with perimeter A334674(1) = 24 whose side lengths are mutually distinct, [6,8,10].
a(2) = 1; there is one nonprimitive Heronian triangle with perimeter A334674(2) = 36 whose side lengths are mutually distinct, [9,12,15].
		

Links

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

Crossrefs

Cf. A331366, A334665, A334674.