FANDOM


These tables use CSBN
CSBN Level 1
ω^ω^ω Level
CSBN Lower bound in fgh
[0]3 f_2(3)
[0][0]3 f_2(f_2(3))
[0][0][0]3 f_2(f_2(f_2(3)))
[1]3 f_3(3)
[1][0]3 f_3(f_2(3))
[1][1]3 f_3(f_3(3))
[1][1][1]3 f_3(f_3(f_3(3)))
[2]3 f_4(3)
[0[0]0]3 f_\omega(3)
[0[0]0][0[0]0]3 f_\omega(f_\omega(3))
[1[0]0]3 f_{\omega+1}(3)
[2[0]0]3 f_{\omega+2}(3)
[0[0]1]3 f_{\omega*2}(3)
[1[0]1]3 f_{\omega*2+1}(3)
[2[0]1]3 f_{\omega*2+2}(3)
[0[0]2]3 f_{\omega*3}(3)
[0[0]0[0]0]3 f_{\omega^2}(3)
[1[0]0[0]0]3 f_{\omega^2+1}(3)
[2[0]0[0]0]3 f_{\omega^2+2}(3)
[0[0]1[0]0]3 f_{\omega^2+\omega}(3)
[1[0]1[0]0]3 f_{\omega^2+\omega+1}(3)
[0[0]0[0]1]3 f_{\omega^2*2}(3)
[0[0]0[0]0[0]0]3 f_{\omega^3}(3)
[0[1]0]3 f_{\omega^\omega}(3)
[1[1]0]3 f_{\omega^\omega+1}(3)
[0[0]0[1]0]3 f_{\omega^\omega+\omega}(3)
[1[0]0[1]0]3 f_{\omega^\omega+\omega+1}(3)
[0[0]1[1]0]3 f_{\omega^\omega+\omega*2}(3)
[0[1]1]3 f_{\omega^\omega*2}(3)
[0[1]0[0]0]3 f_{\omega^\omega*\omega}(3) Or f_{\omega^{\omega+1}}(3)
[0[1]1[0]0]3 f_{(\omega^\omega)*(\omega+1)}(3) Or  f_{\omega^{\omega+1}+\omega^\omega}(3)
[0[1]0[0]1]3 f_{(\omega^\omega)*(\omega*2)}(3) Or f_{\omega^{\omega+1}*2}(3)
[0[1]0[1]0]3 f_{({\omega^\omega})^2}(3) Or f_{\omega^{\omega*2}}(3)
[0[1]0[1]0[1]0]3 f_{\omega^{\omega*3}}(3)
[0[2]0]3 f_{\omega^{\omega^2}}(3)
[0[3]0]3 f_{\omega^{\omega^3}}(3)
[0[99]0]3 f_{\omega^{\omega^{99}}}(3)

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