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Hogfol is equal to s(10,50,6) using strong array notation, or \(10\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow50\).[1] The term was coined by Aarex Tiaokhiao.

SURUX EDRIPT calls this number penanta-eptaxis.[2]

Approximations in other notations[]

Notation Approximation
Up-arrow notation \(10 \uparrow\uparrow\uparrow\uparrow\uparrow\uparrow 50\) (exact)
Chained arrow notation \(10 \rightarrow 50 \rightarrow 6 \) (exact)
Hyper-E notation \(\textrm E1\#1\#1\#1\#1\#50\) (exact)
Hyperfactorial array notation \(52!5\)
BEAF \(\{10,50,6\}\) (exact)
Fast-growing hierarchy \(f_7(50)\)
Hardy hierarchy \(H_{\omega^7}(50)\)
Slow-growing hierarchy \(g_{\varphi(5,0)}(50)\)

Sources[]

  1. Part 1 (LAN) - Aarex Googology (archived) (last accessed 2021-03-18)
  2. SURUX EDRIPT's greek based hyper-tower numbers Accessed 2022-12-01.
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