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Deux superogd is equal to \(\{8,8,8,8,8,8,8,8(1)8,8,8,8,8,8,8,8\}=\{8,8(1)(1)2\}\) in BEAF.[1] The term was coined by ARsygo.

Approximations[]

Notation Approximation
Bird's array notation \(\{8,8,8,8,8,8,8,8[2]8,8,8,8,8,8,8,8\}\) (exact)
Cascading-E notation \(\text{E}[8]8\#\text{^}\#\text{*}\#\text{^}\#8\)
DeepLineMadom's Array Notation \(8[9,8,8,8,8,8\{2\}8,8,8,8,8,8,8,8]8\)
X-Sequence Hyper-Exponential Notation \(8\{7X^{X+7}+8X^{X+6}+8X^{X+5}+8X^{X+4}+8X^{X+3}+8X^{X+2}+8X^{X+1}+8X^{X}+8X^2+9X\}8\)
Fast-growing hierarchy \(f_{\omega^{\omega+7}7+\omega^{\omega+6}8+\omega^{\omega+5}8+\omega^{\omega+4}8+\omega^{\omega+3}8+\omega^{\omega+2}8+\omega^{\omega+1}8+\omega^{\omega}8+\omega^2 8+\omega9}(8)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega+7}7+\omega^{\omega+6}8+\omega^{\omega+5}8+\omega^{\omega+4}8+\omega^{\omega+3}8+\omega^{\omega+2}8+\omega^{\omega+1}8+\omega^{\omega}8+\omega^2 8+\omega9}}(8)\)
Slow-growing hierarchy (with this system of fundamental sequences) \(g_{\psi_0(\Omega^{\Omega^{\Omega+7}7+\Omega^{\Omega+6}8+\Omega^{\Omega+5}8+\Omega^{\Omega+4}8+\Omega^{\Omega+3}8+\Omega^{\Omega+2}8+\Omega^{\Omega+1}8+\Omega^{\Omega}8+\Omega^2 8+\Omega9})}(8)\)

Sources[]

  1. AR Googol - Numbers from BEAF. Retrieved 2024-09-10.
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