A239744 Number of Pythagorean triangles (x, y, z) with legs x < y <= 10^n.

2, 63, 1034, 14474, 185864, 2269788, 26809924, 309224756, 3503496007, 39147452729, 432599522197

Offset: 1

Author

Martin Renner, Mar 26 2014

Keywords

• nonn
• more

Comments

A Pythagorean triangle is a right triangle with integer side lengths x, y, z forming a Pythagorean triple (x, y, z).

Because (x, y, z) is equivalent to (y, x, z), the total number of Pythagorean triangles with legs x, y < 10^n is b(n) = 2*a(n) = 4, 126, 2068, 28948, 371728, ...

Examples

			a(1) = 2, because the only two Pythagorean triangles with x < y < 10 are [3, 4, 5] and [6, 8, 10].
		

Links

• Eric Weisstein's World of Mathematics, Pythagorean Triangle.
• Eric Weisstein's World of Mathematics, Pythagorean Triple.

Crossrefs

Cf. A008846, A020882, A020883, A020884, A046086, A046087, A101931, A101929, A239581, A239786.

Extensions

a(6)-a(11) from Giovanni Resta, Mar 27 2014