Hi.
I wonder. Is there some formula for the continuum sum of \( \frac{1}{\mathrm{tet}(x)} \) (or some other tetration-based function that decays to 0 for tetration with base e or some other non-convergent base), or as involving a continuum product whose productand(?!) decays to 1? As these could be summed using Mueller's formula and the Mueller-like product formula.
I wonder. Is there some formula for the continuum sum of \( \frac{1}{\mathrm{tet}(x)} \) (or some other tetration-based function that decays to 0 for tetration with base e or some other non-convergent base), or as involving a continuum product whose productand(?!) decays to 1? As these could be summed using Mueller's formula and the Mueller-like product formula.

