Triangrolplex

Triangrolplex is equal to trn443(2), where trn(n) is the n-th triangular number.Allam's Numbers - Fascinating Figurate Numbers Retrieved 2023-02-28. The term was coined by wiki user Allam948736. This is the first iterated triangle of 2 that is greater than 10triangrol. It has about 2.92939*10132 digits, and its decimal expansion starts 24759123324757334723644... and ends ...99211475081358932426146.
== Approximations ==
Notation 	Lower bound 	Upper bound
Arrow notation 	\(2\uparrow2\uparrow441\) 	\(2\uparrow2\uparrow442\)
Down-arrow notation 	\(2\downarrow\downarrow442\) 	\(2\downarrow\downarrow443\)
Steinhaus-Moser Notation 	70[3][3] 	71[3][3]
BEAF & Bird's array notation 	{2, {2, 441}} 	{2, {2, 442}}
Copy notation 	2[2[133]] 	3[3[133]]
Fast-growing hierarchy 	\(f_2(f_2(432))\) 	\(f_2(f_2(433))\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^{132}\times2}}(10)\)	\(g_{\omega^{\omega^{132}\times3}}(10)\)
Hardy hierarchy 	\(H_{\omega^2\times2}(432)\) 	\(H_{\omega^2\times2}(433)\)
Hyper-E notation 	E132#2 	E133#2
Hyperfactorial array notation	(85!)! 	(86!)!
== Sources ==
Category:Numbers
Category:Class 3
Category:Upper class 3