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A121727 Hypotenuse of primitive Pythagorean triangles sorted on area (A024406), then on hypotenuse. 3
5, 13, 17, 25, 41, 29, 37, 61, 65, 85, 53, 113, 65, 101, 145, 73, 85, 89, 181, 145, 221, 97, 125, 109, 197, 265, 149, 313, 257, 173, 137, 365, 185, 157, 325, 421, 229, 169, 481, 205, 185, 193, 401, 269, 545, 293 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..46.

PROG

(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 */

CROSSREFS

Sequence in context: A094194 A088511 A089545 * A119321 A078900 A113482

Adjacent sequences:  A121724 A121725 A121726 * A121728 A121729 A121730

KEYWORD

nonn

AUTHOR

Lekraj Beedassy, Aug 17 2006

EXTENSIONS

a(20)=145 corrected by Philippe Guglielmetti, Dec 14 2016

a(43)=401 inserted by Michael Somos, Dec 21 2016

STATUS

approved

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Last modified July 23 15:58 EDT 2019. Contains 325258 sequences. (Running on oeis4.)