A327339 Consider primitive solutions (x,y,z) to the system x+y+z = r^2, x^2+y^2+z^2 = s^2, x^3+y^3+z^3 = t^2, with 0<x<=y<=z arranged in order of increasing z; sequence gives y values.

124, 2134, 68334, 55017, 165433, 299138, 114081