Deux superhex

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Deux superhex is equal to \(\{6,6,6,6,6,6(1)6,6,6,6,6,6\}=\{6,6(1)(1)2\}\) in BEAF. The term was coined by ARsygo.

Approximations

Notation	Approximation
Bird's array notation	\(\{6,6,6,6,6,6[2]6,6,6,6,6,6\}\) (exact)
Cascading-E notation	\(\text{E}[6]6\#\text{^}\#\text{*}\#\text{^}\#6\)
DeepLineMadom's Array Notation	\(6[7,6,6,6\{2\}6,6,6,6,6,6]6\)
X-Sequence Hyper-Exponential Notation	\(6\{5X^{X+5}+6X^{X+4}+6X^{X+3}+6X^{X+2}+6X^{X+1}+6X^{X}+6X^2+7X\}6\)
Fast-growing hierarchy	\(f_{\omega^{\omega+5}5+\omega^{\omega+4}6+\omega^{\omega+3}6+\omega^{\omega+2}6+\omega^{\omega+1}6+\omega^{\omega}6+\omega^2 6+\omega7}(6)\)
Hardy hierarchy	\(H_{\omega^{\omega^{\omega+5}5+\omega^{\omega+4}6+\omega^{\omega+3}6+\omega^{\omega+2}6+\omega^{\omega+1}6+\omega^{\omega}6+\omega^2 6+\omega7}}(6)\)
Slow-growing hierarchy (with this system of fundamental sequences)	\(g_{\psi_0(\Omega^{\Omega^{\Omega+5}5+\Omega^{\Omega+4}6+\Omega^{\Omega+3}6+\Omega^{\Omega+2}6+\Omega^{\Omega+1}6+\Omega^{\Omega}6+\Omega^2 6+\Omega7})}(6)\)