Welcome to the forum acgusta2.
Thank you for participating and using Tex.
However , I think you made a typo , I think after closing Every Bracket there should be a " ^k " , till the power k , right ?
Second , have you seen this :
http://mathworld.wolfram.com/PowerTower.html
It probably contains the formula you Search for ?
Its a Nice idea you have , but assuming the Above ; already investigated and nothing new.
Correct if im wrong.
Also , it is standard practice in math too use as many variables as possible IF it clarifies.
Ok that sounds cryptic , what I mean in this situation is :
You should Sum over k_1,k_2,... Otherwise the nested sums are confusing.
( Sum when over what , in what order etc )
It might seem irrelevant advice , but really it is crucial for the clarity of communication , and keep in Mind being clear reduces the probability of confusing yourself , in particular when you look at it again MUCH LATER.
Regards
Tommy1729
Thank you for participating and using Tex.
However , I think you made a typo , I think after closing Every Bracket there should be a " ^k " , till the power k , right ?
Second , have you seen this :
http://mathworld.wolfram.com/PowerTower.html
It probably contains the formula you Search for ?
Its a Nice idea you have , but assuming the Above ; already investigated and nothing new.
Correct if im wrong.
Also , it is standard practice in math too use as many variables as possible IF it clarifies.
Ok that sounds cryptic , what I mean in this situation is :
You should Sum over k_1,k_2,... Otherwise the nested sums are confusing.
( Sum when over what , in what order etc )
It might seem irrelevant advice , but really it is crucial for the clarity of communication , and keep in Mind being clear reduces the probability of confusing yourself , in particular when you look at it again MUCH LATER.
Regards
Tommy1729