Crazy conjecture connecting the sqrt(e) and tetrations!

[tommy1729]

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Sounds really interesting, however I have no idea how to tackle.

Hmm, I do not really see a good possibility to tackle this. Just want to note that one can rewrite this

\( \lim_{n\to \infty} b\^\^^n < c\^\^^m < b\^\^^{(n+1)} \)

where \( b=\eta+1/\exp(k) \) and \( c=\eta+1/ \exp(1+k) \) and then

\( m \to n*1.64... = n*\exp (0.5) \) with some k

Hmm. This is quite an old post.

I remember thinking I know how Gottfried arrived at this.

But I seem to have forgotten now.

Maybe I should have posted my ideas back then.

Could you plz explain Gottfried ?

regards

tommy1729