User blog comment:Wythagoras/Extensions to Extended Hyper E Notation/@comment-5029411-20130720171633

Nested Cascading-E Notation is faster than Extended Cascading-E Notation.


 * 1) ^^#^# is growth rate e(0)


 * 1) ^(#^^(#^#/#)*#) is growth rate w^(e(0)+1)


 * 1) ^#^(#^^(#^#/##)*#) is growth rate w^w^(e(0)+1)


 * 1) ^#^#^(#^^(#^#/###)*#) is growth rate w^w^w^(e(0)+1)


 * 1) ^^(#^#*#^#) is growth rate e(1)


 * 1) ^^(#^#*#^#...#^#*#^#) (n #^#'s) is growth rate e(n-1)


 * 1) ^^(#^##) is growth rate e(w)


 * 1) ^^(#^#...#) (n #'s) is growth rate e(w^(n-1))


 * 1) ^^(#^#^#) is growth rate e(w^w)


 * 1) ^^(#^#^#) is growth rate e(w^w^w)


 * 1) ^^#^^#^# is growth rate e(e(0))


 * 1) ^^#^^#^^#^# is growth rate e(e(e(0)))


 * 1) ^^^#^# is growth rate z(0)


 * 1) ^^^#^^^#^# is growth rate z(z(0))


 * 1) ^^^#^^^#^^^#^# is growth rate z(z(z(0)))


 * 1) ^^^^#^# is growth rate eta(0)


 * 1) ^^...^^#^# (n ^'s) is growth rate phi(n-1,0)