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s_X(n) = the expression that largest number using n symbols and 1 variable. Let x = X.

s_X(1) = X

s_X(2) = \(X^X\)

s_X(3) = \(X^{X^X}\)

s_X(4) = \(X^{X^{X^X}}\)

s_X(5) = \(X^{X^{X^{X^X}}}\)

\(^XX = X^{...^X}\) (6 symbols)

s_X(6) = \(^XX\)

s_X(7) = \(^{^XX}X\)

What is the expression that largest number using 7, 8, ... symbols and 1 variable?

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