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A121727 Hypotenuse of primitive Pythagorean triangles sorted on area (A024406), then on hypotenuse. 3

%I

%S 5,13,17,25,41,29,37,61,65,85,53,113,65,101,145,73,85,89,181,145,221,

%T 97,125,109,197,265,149,313,257,173,137,365,185,157,325,421,229,169,

%U 481,205,185,193,401,269,545,293

%N Hypotenuse of primitive Pythagorean triangles sorted on area (A024406), then on hypotenuse.

%C Complete triple (X,Y,Z), with X>Y>Z is given by X=a(n),Y=A121728(n),Z=A121729(n).

%o (PARI) v=vector(M=10^4); for(a=1, M, v[a] = []; fordiv(2*a, x, if(x<(y=2*a/x) && issquare(x^2+y^2, &z) && 1==gcd([x,y,z]), v[a] = concat(z, v[a])))); concat(v) /* _Michael Somos_, Dec 21 2016 */

%K nonn

%O 1,1

%A _Lekraj Beedassy_, Aug 17 2006

%E a(20)=145 corrected by _Philippe Guglielmetti_, Dec 14 2016

%E a(43)=401 inserted by _Michael Somos_, Dec 21 2016

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Last modified October 22 10:17 EDT 2019. Contains 328315 sequences. (Running on oeis4.)