Bell formula for iterated exponentiation

[bo198214]

m=arbitrary, integer>0:
\( \hspace{24} T^{\tiny(m)}_s(x)=
\sum_{ k_m...k_1 =0..\infty \\ k_1+k_2+...+k_m=n }
x^{k_m}
* \left( k_{m-1}^{k_m} \dots k_2^{k_3} k_1^{k_2} \right)
* \begin{pmatrix} n \\ k_2,k_3,...,k_m \end{pmatrix}
* \frac{ log(s)^n}{n!}
\)

(hope I didn't make an index-error).
This formula can also be found in
E.T.BELL ,"The iterated Exponential Integers", Annals of Mathematics (193 p539-557

Are you sure Gottfried? I didnt find it in the mentioned article.