Hektotetrommthet

Hektotetrommthet is equal to \(f_{\theta(\Omega \uparrow\uparrow {100})}(10)\)My system of number names (FGS) - Traveling To The Infinity using the fast-growing hierarchy and Feferman's \(\theta\)-function with fundamental sequences using equalities to outputs of Buchholz's function. The term was coined by wiki user Denis Maksudov.
It is also equal to \(f_{\psi_0(\Omega\uparrow\uparrow 101)}(10)\) using Buchholz's function.
== Etymology ==
The 4 parts of the name, "hekto", "tetr", "omm" and "thet", mean 100, tetration, \(\Omega\) and \(\theta\) function respectively, which form \(\theta(\Omega\uparrow\uparrow100)\) when concatenated backwards. So the full name indicates the ordinal index of the FGH.
== Approximations ==
Notation 	Approximation
Bird's array notation 	\(\{10,51 [1 [1 \neg 3] 2] 2\}\)
Hardy hierarchy (using Buchholz hierarchy) 	\(H_{\psi_0(\Omega\uparrow\uparrow 101)}(10)\)
Slow-growing hierarchy (using Buchholz hierarchy)	\(g_{\psi_0(\Omega_3)[102]}(10)\)
== Sources ==
Category:Numbers
Category:Numbers by Denis Maksudov
Category:10-based FGH numbers
Category:Bachmann's collapsing level