User blog:Ynought/E function revision:first step

So after taking a break from any sort of work here,but yesterday i got inspired to start again.So in a very short time i began to notice what destroyed the first one.Well this is the first attempt at revision of the \(E\) function it was angles.In an blogpost i asked how to slowly approach an value.so here is my first attempt at transforming \(\alpha_n\):

\(\alpha_n\) is the number of degrees that line nr n (order doesn't matter) deviates from the x-coordinate.

The transformation is:

\(\alpha_n\) turns into \(\sum_{k=1}^{[\alpha_n]}\frac{1}{k^{\gamma-\frac{1}{k^{E(j-1)}}}}\) where \(\gamma=\text{max}(\delta|\sum_{k=1}^{\infty}\frac{1}{k^{\delta-\frac{1}{k^{E(j-1)}}}}<\omega)\)

If you have a better idea please feel free to tell me.