: Mathematics: exponential factorial

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exponential factorial

The exponential factorial is a positive integer n raised to the power of n − 1, which in turn is raised to the power of n − 2, and so on in a right-grouping manner. That is,
${\\displaystyle n^{(n-1)^{(n-2)\\cdots }}}$
The exponential factorial can also be defined with the recurrence relation
${\\displaystyle a_{1}=1,\\quad a_{n}=n^{a_{n-1}}}$

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