User blog comment:AarexWikia04/Mapping Ordinals to Numbers/@comment-27516045-20160729135920/@comment-29014792-20160729150324

w^w^e_0 = e_0

w^(w^e_0+1) = e_0*w

w^(w^e_0*2) = e_0^2

w^w^(e_0+1) = e_0^w

w^w^(e_0+2) = e_0^w^2

w^w^(e_0*2) = e_0^e_0

w^w^(e_0*3) = e_0^(e_0*2)

w^w^w^(e_0+1) = e_0^(e_0*w)

w^w^w^w^(e_0+1) = e_0^e_0^w

w^w^w^w^w^(e_0+1) = e_0^e_0^(e_0*w)

e_1 = e_0^e_0^e_0^...