Manuals/calci/TETRATE

TETRATE(a,n)

• $a$ is the base value.
• $n$ is power value.

Description

• This function shows the tetration value of the given number.
• In $TETRATE(a,n)$,$a$ is the base value and $n$ is the power value.
• The hyperoperation after exponentiation is Tetration.
• Tetration is called iterated exponentiation.
• The notation $^{n}a$ means Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. TeX parse error: Double exponent: use braces to clarify"): {\displaystyle a^{a}^{a}...} the application of exponentiation {\displaystyle n-1} n-1 times.
• Tetration is simply defined by:For any positive real {\displaystyle a>0} a>0 and non-negative integer {\displaystyle n\geq 0} n\geq 0, we define {\displaystyle \,\!{^{n}a}} \,\!{^{n}a} by: