A087459 Values (X + Y - Z) sorted on Z, then on Y, where (X,Y,Z) is a primitive Pythagorean triple with X

2, 4, 6, 6, 12, 10, 8, 20, 10, 24, 14, 30, 28, 12, 30, 40, 18, 42, 14, 36, 56, 22, 16, 42, 60, 70, 44, 18, 72, 48, 70, 26, 84, 66, 90, 20, 52, 80, 88, 30, 78, 22, 60, 90, 110, 112, 60, 126, 104, 24, 66, 132, 34, 126, 130, 144, 68, 26, 154, 120, 110, 140, 156, 38, 102, 28

Offset: 1

Author

Lekraj Beedassy, Oct 23 2003

Keywords

• nonn

Links

• Ray Chandler, Table of n, a(n) for n = 1..10000
• Eric Weisstein's World of Mathematics, Pythagorean Triple.

Crossrefs

For ordered values of (X + Y - Z) see A020887.

Cf. A046086, A046087, A020882, A014498.

Formula

a(n) = A046086(n) + A046087(n) - A020882(n) = 2*A014498(n).

a(n) = sqrt{2*A118961(n)*A118962(n)}. - Lekraj Beedassy, May 11 2006

Extensions

Corrected and extended by Ray Chandler, Oct 25 2003