A239744 -id:A239744 - cp's OEIS frontend

A239581 Number of primitive Pythagorean triangles (x, y, z) with legs x < y < 10^n.

1, 18, 179, 1788, 17861, 178600, 1786011, 17860355, 178603639, 1786036410, 17860362941

Offset: 1

Martin Renner, Mar 26 2014

A Pythagorean triangle is a right triangle with integer side lengths x, y, z forming a Pythagorean triple (x, y, z). It is called primitive, if gcd(x, y, z) = 1.

Because (x, y, z) is equivalent to (y, x, z), the total number of primitive Pythagorean triangles with legs x, y < 10^n is b(n) = 2*a(n) = 2, 36, 358, 3576, 35722, ...

			a(1) = 1, because the only primitive Pythagorean triangle with x < y < 10 is [3, 4, 5].

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

Cf. A008846, A020882, A020883, A020884, A046086, A046087, A101931, A101929, A239744, A239786.

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

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

Original entry on oeis.org

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

Offset: 1

Martin Renner, Mar 26 2014

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, ...

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

Cf. A008846, A020882, A020883, A020884, A046086, A046087, A101931, A101929, A239581, A239744.

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

cp's OEIS Frontend

A239581 Number of primitive Pythagorean triangles (x, y, z) with legs x < y < 10^n.

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