User blog comment:KthulhuHimself/Plexation, TaN, and such/@comment-5529393-20151014102617/@comment-27014275-20151015091619

I've calculated the following growth-speeds, and would like a bit of confirmation on them.

]n {n} 1[ = f[w^2](n)

]n {n} 2[ = ] (((n {n} 1)… {n} 1) {n} 1) {n} 1[ (n nestings) = f[w^2+1](n)

]n {n} n[ = f[w^2+w](n)

]n {n(1)} n[ = f[w^2+w+1](n)

]n {n(2)} n[ = f[w^2+w+2](n)

]n {n(n)} n[ = f[w^2+w*2](n)

]n {n([1]1)} n[ = f[w^2+w*2+1](n)

]n {n([2]1)} n[ = f[w^2+w*2+2](n)

]n {n([n]1)} n[ = f[w^2+w*3](n)

]n {n([n]n)} n[ = ]n {n(n,1)} n[ = f[w^2+w*4](n)

]n {n(([n]n),1)} n[ = ]n {n(n,2)} n[ = f[w^2+w*5](n)

]n {n(n,n)} n[ = f[w^2*2](n)

]n {n(n,n,n)} n[ = f[w^2*3](n)

]n {n(n,,1)} n[ = f[w^3](n)

]n {n(n,,2)} n[ = f[w^4](n)

]n {n(n,,n)} n[ = f[w^w](n)

<p class="MsoNormal" dir="LTR" style="direction:ltr;unicode-bidi:embed;">]n {n(n,,n,,n)} n[ = f[w^^3](n)

<p class="MsoNormal" dir="LTR" style="direction:ltr;unicode-bidi:embed;">]n {n(n,,,1)} n[ = f[w^^w](n) = f[e0](n)