A render of this scene with "+w512 +h256 +am3 +a0.2 +ac0.8 +r1" shows 
definite non-random patterns in the output every time - the red circles 
are post-processing ;-) You can change a lot of the numbers in the code 
and command-line a little bit and still get the same patterns.

Is this a bug/feature of the random number generator algorithm?

#version 3.7
global_settings{radiosity{no_cache count 2}}

sky_sphere { pigment { gradient y
              color_map{[.5 color rgb 2][1 color rgb 0]}
              scale 2 translate -1 }
   rotate x*30 rotate y*45 emission 2 }

plane{y 0 pigment{color rgb 1} finish{diffuse  0.3}}

camera {
   angle 40
   location  <0,3,6> look_at   <0,1,0>
   right x*image_width/image_height
}

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