A374596 Floor(area) for the area of the largest square which fits in each Pythagorean triangle, with sides of the square on the legs of the triangle, for Pythagorean triangles ordered first by increasing perimeter, then shorter leg, then longer leg.

2, 11, 12, 26, 27, 47, 29, 49, 73, 104, 105, 108, 79, 144, 53, 112, 188, 238, 117, 199, 244, 293, 297, 86, 355, 419, 162, 423, 311, 431, 496, 435, 264, 319, 576, 656, 215, 448, 661, 126, 752, 601, 680, 849, 687, 610, 944, 952, 276, 469, 1060, 1166, 174, 797, 979

Offset: 1

Author

Alexander M. Domashenko, Jul 13 2024

Keywords

• nonn

Comments

For a triangle with leg lengths x,y, the square has side length x*y/(x+y) and the area rounded down is a(n) = f(x,y) = floor( (x*y/(x+y))^2 ).

Examples

			The first Pythagorean triangle is (x,y,z) = (3,4,5) and the rounded area of the square inside it is a(1) = f(3,4) = floor((3*4/(3+4))^2) = 2.
		

Crossrefs

Cf. A374597.