A106430 Ordered and uniqued length of side opposite the greater of the two angles, one being the double of the other, of a primitive integer-sided triangle.

6, 12, 15, 20, 28, 30, 35, 40, 42, 45, 56, 63, 66, 70, 72, 77, 84, 88, 90, 91, 99, 104, 110, 117, 120, 126, 130, 132, 143, 144, 153, 154, 156, 165, 170, 176, 182, 187, 190, 195, 198, 204, 208, 209, 210, 220, 221, 228, 231, 234, 238, 240, 247, 255, 260, 266, 272, 273, 276, 285, 286, 299

Offset: 1

Author

Lekraj Beedassy and Ray Chandler, May 09 2005

Keywords

• nonn

Comments

This is also the list of a, where a is positive integer solutions of 1/a+1/b=1/c and a>b>c and gcd[a,b,c]=1, sorted by ascending a, then b. See A247372 for list of b, A246429 for list of c. - Albert Lau, Sep 19 2014

Links

• Albert Lau, Table of n, a(n) for n = 1..10539

Crossrefs

Cf. A106499-A106506, A106410, A106420, A247372, A246429

Programs

Mathematica

aMax = 300;
Select[Sequence @@@ Table[{m (m + n), n (m + n), m n}, {m, Sqrt[aMax]}, {n, Min[m - 1, aMax/m - m]}], GCD @@ # == 1 &] // Sort;
%[[;; , 1]]
(* Albert Lau, Sep 19 2014 *)

Formula

Values r*s, where r

The other 2 sides are s^2 and r^2-s^2. - Albert Lau, Sep 19 2014

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