A088558 Least odd leg of primitive Pythagorean triangles with even leg 4n.

3, 15, 5, 63, 21, 7, 45, 255, 77, 9, 117, 55, 165, 33, 11, 1023, 285, 65, 357, 39, 13, 105, 525, 247, 621, 153, 725, 15, 837, 119, 957, 4095, 85, 273, 51, 17, 1365, 345, 133, 231, 1677, 95, 1845, 57, 19, 513, 2205, 1015, 2397, 609, 253, 105, 2805, 713, 21, 207, 325

Offset: 1

Author

Lekraj Beedassy, Nov 17 2003

Keywords

• nonn

Links

• Jean-François Alcover, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A088557, A096891-A096900.

Programs

Mathematica

a[n_] := 2k + 1 /. Solve[k > 0 && 1 < h < 2k + 1 + 4n && (2k + 1)^2 + (4n)^2 == h^2 && GCD[2k + 1, 4n, h] == 1, {k, h}, Integers][[1]];
a /@ Range[57] (* Jean-François Alcover, Mar 05 2020 *)

Extensions

Extended by Ray Chandler, Jul 14 2004