Flan number 4 version 3

Flan number 4 version 3 (Japanese: フラン数第四形態改三) is one of the most famous version of Flan number. It was coined by Japanese googologist 巨大数大好きbot.巨大数大好きbot, Definition of Flan number 4 version 3, twitter.
== Approximations ==
Using particular approximations, Flan number 4 version 3 is slightly smaller and comparable to Saibian's quintuple-terrible tethrathoth.
Notation 	Approximation
Bird's array notation 	\(\{5,5 [1 [1 \backslash 6] 1 [1 \backslash 6] 2 \backslash 6] 2\}\)
Extended Cascading-E Notation	E[5]5(((((#^^#)^^#)^^#)^^#)^^#)^^#3
Fast-growing hierarchy 	\(f_{\varepsilon_4^{\varepsilon_4^{\varepsilon_4}}}(5)\)
Hardy hierarchy 	\(H_{\varepsilon_4^{\varepsilon_4^{\varepsilon_4^{\varepsilon_4}}}}(5)\)
Slow-growing hierarchy 	???
== External link ==
* 猫山にゃん太, Flan Number 4th - フラン数第四形態 改二/改三, GitHub page. （javascript code for フラン数第四形態改二/改三）
== References ==
Category:Numbers
Category:Epsilon level
ja:フラン数第四形態改三