Grand kilohyperfaxul

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Grand kilohyperfaxul is equal to \(a_\text{kilohyperfaxul}\), where \(a_n\) = \(a_{n-1}![1]\) and \(a_0 = 200![1]\), using Hyperfactorial Array Notation. The term was coined by Lawrence Hollom.^[1]

Etymology[]

The name of this number is based on the word "grand" and the number "kilohyperfaxul".

Approximations in other notations[]

Notation	Approximation
Hyper-E notation	\(\textrm E10\#\#201\#(\textrm E10\#\#201\#2)\#2\)
Chained arrow notation	\(10 \rightarrow 198 \rightarrow (10\rightarrow 198 \rightarrow (10\rightarrow 198 \rightarrow 201)) \rightarrow 2\)
BEAF	\(\{10,\{10,198,\{10,198,201\}\},1,2\}\)
Fast-growing hierarchy	\(f_{\omega+1}(f_{\omega}(f_{\omega}(202)))\)
Hardy hierarchy	\(H_{\omega^{\omega+1}+\omega^{\omega}2}(202)\)
Slow-growing hierarchy (using this system of fundamental sequences)	\(g_{\varphi(1,0,\varphi(\varphi(200,0),0))}(200)\) \(=g_{\Gamma_{\varphi(\varphi(200,0),0)}}(200)\)

Sources[]

↑ Lawrence Hollom's large number site

See also[]

Hyperfactorial array notation numbers: Minor Faxul Group | Major (Giaxul) ⇨

Faxul · Giaxul · Hugexul · Enormaxul · Destruxul · Extremexul · Gigantixul · Nucleaxul · BIGG

[1] Lawrence Hollom's large number site

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