Triadekaelheptol is equal to E100(#^#^#^#^#^#^#^#^13)100 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Approximations

Notation Approximation
BEAF \(\{100,100 ((((13) 1) 1) 1) 2\}\)
BEAF (Array of notation) XXXXXXX13 & 100
Bird's array notation \(\{100,100 [1 [1 [1 [14] 2] 2] 2] 2\}\)
Hyperfactorial array notation \(100![1,[1,[1,[1,[1,[1,[1,99,14],1,2],1,3],1,4],1,5],1,6],1,7]\)
Fast-growing hierarchy \(f_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{13}}}}}}}}}(100)\)
Fast-growing hierarchy in terms of Veblen function \(f_{\varphi_0(\varphi_0(\varphi_0(\varphi_0(\varphi_0(\varphi_0(\varphi_0(\varphi_0(13))))))))}(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{13}}}}}}}}}}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{12} \omega}}}}}}})}(100)\)

Sources

  1. Saibian, Sbiis. 4.3.5 Cascading-E NumbersOne to Infinity. Retrieved 2016-09-09.
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