Bentley's Number is equal to \(\sum^{9}_{i=0}10\uparrow\uparrow i=1+10+10^{10}+10^{10^{10}}+10^{10^{10^{10}}}+...+10^{10^{10^{10^{10^{10^{10^{10^{10}}}}}}}} = \)\(10000000011+10^{10^{10}}+10^{10^{10^{10}}}+...+10^{10^{10^{10^{10^{10^{10^{10^{10}}}}}}}}\), (here \(10\uparrow\uparrow 0=1\)) using Knuth's Arrow Notation. It is based on the story Forever Endeavor.
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