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| rdfs:comment | - The Big Ass Number function is defined as \(\mathrm{ban}(n) = n^{^nn} = {}^{n + 1}n\), or nmegafuga(n). In up-arrow notation, it can be expressed as \(n \uparrow (n \uparrow\uparrow n)\) or as \(n \uparrow\uparrow (n+1)\). It was defined along with the Really Big Ass Number function by Matt Leach in a failed attempt to create an uncomputable function. In reality, the function's growth rate is around \(f_3(n)\) in the fast-growing hierarchy, nowhere close to the busy beaver function. The first few values of \(\mathrm{ban}(n)\) are \(1, 16\), and \(3^{7625597484987}\), which has 3638334640025 decimal digits.
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| dbkwik:googology/property/wikiPageUsesTemplate | |
| abstract | - The Big Ass Number function is defined as \(\mathrm{ban}(n) = n^{^nn} = {}^{n + 1}n\), or nmegafuga(n). In up-arrow notation, it can be expressed as \(n \uparrow (n \uparrow\uparrow n)\) or as \(n \uparrow\uparrow (n+1)\). It was defined along with the Really Big Ass Number function by Matt Leach in a failed attempt to create an uncomputable function. In reality, the function's growth rate is around \(f_3(n)\) in the fast-growing hierarchy, nowhere close to the busy beaver function. The first few values of \(\mathrm{ban}(n)\) are \(1, 16\), and \(3^{7625597484987}\), which has 3638334640025 decimal digits.
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