The number of different orders to execute associative operations for n elements & 1 operator type

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Dear visitor,

Could you glance a quick eye on the results in the following paper? I am still looking for a formula to exactly calculate possibilities for any given n.

It seems as if the mathematician Eric Stucky University of Minnesota | Not Only Truth But Supreme Beauty | One Thousand Adventures in Mathematics | Stack Exchange | Vimeo, who is a Minneapolis-based graduate student and teacher assistant, has found an explicit formula! As soon as I find some time to better understand his notes and comments, I will update the documents above; with credit to Eric.

Here's Eric's Mathematics Stack Exchange "Flair":

profile for Eric Stucky at Mathematics Stack Exchange, Q&A for people studying math at any level and professionals in related fields

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