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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 $0<\theta<1$
$\delta$ and $\epsilon$ have particular common uses which seem not the same as yours, so given those choices I would use $\theta$. But I'd have to know more about your use to say for sure.
A fairly commonly used name for the starting point, at least for arithmetic and geometric sequences, is $a$. Another possibility is $c$, for a generic constant.
Or else in your case, depending on the indexing, you could use $a(0)$, or $a(1)$. Using Greek letters in this type of context is less traditional. But there is nothing wrong in doing so.
