A107572 List of triples a,b,c that are sidelengths of a scalene triangle; a

2, 3, 4, 2, 4, 5, 3, 4, 5, 2, 5, 6, 3, 4, 6, 3, 5, 6, 2, 6, 7, 3, 5, 7, 4, 5, 6, 3, 6, 7, 4, 5, 7, 2, 7, 8, 3, 6, 8, 4, 5, 8, 4, 6, 7, 3, 7, 8, 4, 6, 8, 5, 6, 7, 2, 8, 9, 3, 7, 9, 4, 6, 9, 4, 7, 8, 5, 6, 8, 3, 8, 9, 4, 7, 9, 5, 6, 9, 5, 7, 8, 2, 9, 10, 3, 8, 10, 4, 7, 10, 4, 8, 9, 5, 6, 10, 5, 7, 9, 6, 7, 8, 3

Offset: 1

Author

Clark Kimberling, May 16 2005

Keywords

• nonn
• tabf

Comments

The number of such triangles of perimeter n+6 is Alcuin's sequence, as noted at A005044.

Examples

			(2,3,4) is the least such triangle, followed by (2,4,5) and then (3,4,5).
		

Crossrefs

Cf. A107573, A107574, A107575, A107576, A107577, A005044, A070080.