Grangoldex

Grangoldex is equal to E100#100#2 = E100#(E100#100) = EE...EE100 (grangol E's) = 101010...1010100 (grangol 10's) using Hyper-E notation. The term was coined by Sbiis Saibian.
=== Etymology ===
The name of the number is based on suffix -dex and the number grangol.
=== Approximations in other notations ===
Notation 	Lower bound 	Upper bound
Arrow notation 	\(57 \uparrow\uparrow (57 \uparrow\uparrow 101)\) 	\(58 \uparrow\uparrow (58 \uparrow\uparrow 101)\)
Chained arrow notation 	\(57 \rightarrow (57 \rightarrow 101 \rightarrow 2) \rightarrow 2\)	\(58 \rightarrow (58 \rightarrow 101 \rightarrow 2) \rightarrow 2\)
BEAF 	{57,{57,101,2},2} 	{58,{58,101,2},2}
Bird's array notation 	{57,{57,101,2},2} 	{58,{58,101,2},2}
Hyperfactorial array notation	\((102!1)!1\) 	\((103!1)!1\)
Fast-growing hierarchy 	\(f_3(f_3(100))\) 	\(f_3(f_3(101))\)
Hardy hierarchy 	\(H_{(\omega^3) 2}(100)\) 	\(H_{(\omega^3) 2}(101)\)
Slow-growing hierarchy 	\(g_{\varepsilon_{\varepsilon_0}}(100)\) 	\(g_{\varepsilon_{\varepsilon_0}}(101)\)
=== Sources ===
=== See also ===
*Grangol regiment
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Hyper-E numbers
Category:Googol series
Category:Up-arrow notation level