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Circle Packing

I've been having fun with two circle packing games this week. The first from MathMunch: http://www.newgrounds.com/portal/view/506364 shared in http://mathmunch.org/2014/11/16/grothendieck-circle-packing-and-string-art/ The second from my colleague Will Dickinson, a circle packing expert: http://www.addictinggames.com/puzzle-games/filler.jsp This sketch lets you experiment with a situation like the first game. What is the smallest circle that can hold circles with radii 1 through n?