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Plot of combination of natural ArcTetration and SuperFactorial:

\[ y=\mathrm{ate}\Big(\mathrm{SuFac}(x)\Big)\]

and  
Plot of combination of natural ArcTetration and growing superexponential SuExq2 to base \(\sqrt{2}\)
displaced in such a way that \( \mathrm{SuExq2}(0)\!=\!5 \ \):


\[ y=\mathrm{ate}\Big(\mathrm{SuExq2}(x)\Big)\]

\vskip 8pt
\sx{1.4}{\bf References}
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\url{https://mizugadro.mydns.jp/BOOK/468.tex}
D.Kouznetwov. Superfunctions. Lambert Academic Publishing, 2020 
\vskip 4pt

\url{http://www.vmj.ru/articles/2010_2_4.pdf}
D.Kouznetsov. Tetration as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45, In Rusian.  English version:
\url{https://mizugadro.mydns.jp/PAPERS/2009vladie.pdf} 

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