A239786 Number of Pythagorean triangles (x, y, z) with legs x < y < 10^n.

2, 62, 1032, 14471, 185860, 2269783, 26809918, 309224749, 3503495999, 39147452720, 432599522187

Offset

1,1

Comments

A Pythagorean triangle is a right triangle with integer side length 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, 124, 2064, 28942, ...

Links

Table of n, a(n) for n=1..11.

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, A239744.

Sequence in context: A224844 A226421 A091817 * A209183 A200802 A262005

Adjacent sequences: A239783 A239784 A239785 * A239787 A239788 A239789

Keyword

nonn,more

Author

Martin Renner, Mar 26 2014

Extensions

a(5)-a(11) from Giovanni Resta, Mar 27 2014

Status

approved