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I am wondering if there is a forumula for the number of possible positions in chess after

**n**moves. I searched google and found some estimates (including Shannon's number) for the number of possible positions after n=1,2,3,4 but seems to get a little hazy after that.

I was also wondering if it would be an infinite series that converges to a number.

If this isn't possible to do for some reason I would be interested in knowing exactly why it isn't doable. Thanks in advance,

Lee