Fish number 3 (F3) is a number defined by Japanese googologist Fish in 2002. It is one of the seven Fish numbers. Define s(n) map as: \begin{eqnarray*} s(1)f & := & g; g(x)=f^x(x) \\ s(n)f & := & g; g(x)=[s(n-1)^x]f(x) ( ext{if }n>1) \end{eqnarray*} where s(n) is a functional, and the growth rate in FGH is \begin{eqnarray*} s(x)f(x) \approx f_{\omega^\omega}(x) \end{eqnarray*} ss(n) map is defined as: \begin{eqnarray*} ss(1)f & := & g; g(x)=s(x)f(x) \\ ss(n)f & := & g; g(x)=[ss(n-1)^x]f(x) ( ext{if }n>1) \\ \end{eqnarray*}
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