A376608 Sides x < y < z of Pythagorean triangles ordered first by increasing perimeter x+y+z, then by shorter leg x.

3, 4, 5, 6, 8, 10, 5, 12, 13, 9, 12, 15, 8, 15, 17, 12, 16, 20, 7, 24, 25, 10, 24, 26, 15, 20, 25, 20, 21, 29, 18, 24, 30, 16, 30, 34, 12, 35, 37, 21, 28, 35, 9, 40, 41, 15, 36, 39, 24, 32, 40, 27, 36, 45, 14, 48, 50, 20, 48, 52, 24, 45, 51, 30, 40, 50, 28, 45, 53, 11, 60, 61, 33, 44, 55

Offset: 1

Author

Hugo Pfoertner, Sep 29 2024

Keywords

• nonn
• tabf

Examples

			   Triangle
   |  Perimeter
   |       x   y   z
   1  12 [ 3,  4,  5]
   2  24 [ 6,  8, 10]
   3  30 [ 5, 12, 13]
   4  36 [ 9, 12, 15]
   5  40 [ 8, 15, 17]
   6  48 [12, 16, 20]
   7  56 [ 7, 24, 25]
   8  60 [10, 24, 26]
   9  60 [15, 20, 25]
  10  70 [20, 21, 29]
		

Crossrefs

Cf. A010814, A024364, A103605.

A374597 uses this order of sides.