I need a least positive number and I am considering $\delta$, $\epsilon$ and $\theta$. Which one would be best to start a sequence? Are there any others I should also consider?
Edit:
$a(0)\text{:=}\theta$
$a(n)\text{:=}\left \lceil \left(x=a(n-1)\right)+x^{\frac{1}{2}}\right\rceil$
The starting number can be anything $0<\theta<1$