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\begin{cases}  
 
\begin{cases}  
 
1,  & \mbox{if }n\mbox{=0} \\
 
1,  & \mbox{if }n\mbox{=0} \\
a, & \mbox{if }n\mbox{ >0}  
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a^{[(n-1)a]}, & \mbox{if }n\mbox{ >0}  
 
\end{cases}</math>
 
\end{cases}</math>
   −
<math>f(n) =  
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==Examples==
\begin{cases}
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#TETRATE (3,2) = 27
n/2,  & \mbox{if }n\mbox{ is even} \\
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#TETRATE (4,3) = 1.3407807929942597e+154
3n+1, & \mbox{if }n\mbox{ is odd}
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#TETRATE (10,2) = 10000000000
\end{cases}</math>
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==See Also==
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*[[Manuals/calci/SLOG| SLOG]]
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*[[Manuals/calci/SUPERLOGARITHM| SUPERLOGARITHM]]
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*[[Manuals/calci/TETRA| TETRA]]
 +
 
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==References==
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*https://en.wikipedia.org/wiki/Tetration
 +
 
 +
 
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*[[Z_API_Functions | List of Main Z Functions]]
 +
*[[ Z3 |  Z3 home ]]
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