Troogol

The troogol is equal to \(\{10,10,10,100\}\) in BEAF, or \(10\lbrace\lbrace\cdots\lbrace\lbrace10\rbrace\rbrace\cdots\rbrace\rbrace10\) (100 pairs of \(\lbrace\rbrace\)) in Bowers's extended operator notation. It was coined by Chris Bird to continue the googol and boogol series. This number is comparable to Saibian's throogol.
Username5243 calls this number Megoogol (formerly Gigoogol), and it's equal to \(10[0,0,1]100\) in Username5243's Array Notation.
== Etymology ==
The name of the number is based on Latin prefix "tri-" and the number "googol".
== Approximations ==
Notation 	Approximation
Bird's array notation 	\(\{10,10,10,100\}\) (exact)
Hyper-E notation 	\(\textrm E100\#\#\#100\)
Chained arrow notation 	\(100 \rightarrow_2 101\)
Fast-growing hierarchy 	\(f_{\omega^2}(100)\)
Hardy hierarchy 	\(H_{\omega^{\omega^2}}(100)\)
Slow-growing hierarchy (using this system of fundamental sequences)	\(g_{\varphi(99,\omega,0)}(100)\)
== Sources ==
== See also ==
Category:Numbers
Category:Numbers by Jonathan Bowers
Category:4 entry linear
Category:Googol series
Category:BEAF
Category:Linear omega level
Category:Linear series
Category:Troogol series