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Googology Wiki

Triangrolplex is equal to trn443(2), where trn(n) is the n-th triangular number.[1] 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.[1]


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 {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!)!