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Deux superpent is equal to \(\{5,5,5,5,5(1)5,5,5,5,5\}=\{5,5(1)(1)2\}\) in BEAF.[1] The term was coined by ARsygo.

Approximations[]

Notation Approximation
Bird's array notation \(\{5,5,5,5,5[2]5,5,5,5,5\}\) (exact)
Cascading-E notation \(\text{E}[5]5\#\text{^}\#\text{*}\#\text{^}\#5\)
DeepLineMadom's Array Notation \(5[6,5,5\{2\}5,5,5,5,5]5\)
X-Sequence Hyper-Exponential Notation \(5\{4X^{X+4}+5X^{X+3}+5X^{X+2}+5X^{X+1}+5X^{X}+4X^2+6X\}5\)
Fast-growing hierarchy \(f_{\omega^{\omega+4}4+\omega^{\omega+3}5+\omega^{\omega+2}5+\omega^{\omega+1}5+\omega^{\omega}5+\omega^2 4+\omega6}(5)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega+4}4+\omega^{\omega+3}5+\omega^{\omega+2}5+\omega^{\omega+1}5+\omega^{\omega}5+\omega^2 4+\omega6}}(5)\)
Slow-growing hierarchy (with this system of fundamental sequences) \(g_{\psi_0(\Omega^{\Omega^{\Omega+4}4+\Omega^{\Omega+3}5+\Omega^{\Omega+2}5+\Omega^{\Omega+1}5+\Omega^{\Omega}5+\Omega^2 4+\Omega6})}(5)\)

Sources[]

  1. AR Googol - Numbers from BEAF. Retrieved 2024-09-04.
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