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A089552 Sum of legs of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse. 18

%I

%S 49,289,529,961,2209,1681,2401,5041,5329,6241,7921,9409,12769,10609,

%T 14161,14161,16129,18769,22801,25921,25921,27889,36481,39601,37249,

%U 47089,47089,54289,49729,58081,69169,73441,66049,57121,78961,82369

%N Sum of legs of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.

%H Ray Chandler, <a href="/A089552/b089552.txt">Table of n, a(n) for n = 1..10000</a>

%t terms = 1000; jmax = 100; kmax = 200;

%t Reap[Do[If[CoprimeQ[j, k], e = j^2 - j k + k^2/2; f = j k; If[e > f, Sow[{e^2 + f^2, (j^2 - k^2/2)^2}]]], {j, 1, jmax}, {k, 2, kmax, 2}]][[2, 1]] // Sort // #[[;; terms, 2]]& (* _Jean-Fran├žois Alcover_, Mar 05 2020 *)

%Y Cf. A088319, A088515, A088516, A088546, A089545-A089551, A089554-A089558.

%K nonn

%O 1,1

%A _Ray Chandler_, Nov 16 2003

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Last modified July 25 10:07 EDT 2021. Contains 346289 sequences. (Running on oeis4.)