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This category contains numbers that can be defined or estimated using up-arrow notation, which is equivalent to Jonathan Bowers' 3-entrical arrays.

The lower bound of this category is \(10 \uparrow\uparrow\uparrow 3 = 10 \uparrow\uparrow 10 \uparrow\uparrow 10\), and the upper bound is \(f_\omega(f_3(10))\).

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