The gowngulus is equal to {10,100 (0,5) 2} in BEAF. Its structural array has 100500 entries total. The term was coined by Jonathan Bowers.[1]


Notation Approximation
Bird's array notation \(\{10,100 [1,6] 2\}\)
Cascading-E notation \(E100\#\text{^}\#\text{^}\#\#5\)
Hyperfactorial Array Notation \(100![1,[1,[1,4,2],1,2],1,3]\)
X-Sequence Hyper-Exponential Notation \(10\{X^{X^{X*5}}\}100\)
Fast-growing hierarchy (using CNF's funamental sequences) \(f_{\omega^{\omega^{\omega 5}}}(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{\omega 5}}}}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega^{\Omega^{\Omega4+\omega}})}(100)\)


  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

See also

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