## FANDOM

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Tetration related to iterated exponentiation

$^2n = n^n$

$^3n = {(^2n)}^{(n^{n-1})}$

$^4n = {(^3n)}^{(n^{(^2n-n}))}$

$^5n = {(^4n)}^{(n^{(^3n-^2n}))}$

$^6n = {(^5n)}^{(n^{(^4n-^3n}))}$

$^kn = {(^{(k-1)}n)}^{(n^{(^{(k-2)}n-^{(k-3)}n}))}$ Only for K > 3

With enough nesting you can express tetration with only n and exponentiation by replacing the corresponding equalities. For example: $^4n = {({(n^n)}^{(n^{n-1})})}^{(n^{(n^n-n)})}$

Can this be noteworthy enough to be added in the tetration page?