69 strokes, no $a,$b abuse.

map{printf'#%02x%02x%02x
',$_%6*51,($_/=6)%6*51,($_/6|0)*51}(0..215);
[download]

After Compline
Zaxo

Update:Doh, forgot to remove unneeded list parens. 67 strokes.

map{printf'#%02x%02x%02x
',$_%6*51,($_/=6)%6*51,($_/6|0)*51}0..215;
[download]

--Z