Does the function $f\left(n\right)=\left(-1\right)^n, n \in \mathbb{Z}$ used in a lot of mathematical formulas have a special name ?
EDIT: The context of this question is that I need a name for this function in a software.
2026-04-12 17:51:18.1776016278
Name of the $(-1)^n$ function?
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Not really. One just writes it out like that, for example, $$\sum (-1)^n\cdot a^n$$
not $$\sum \operatorname{some\;name}(n)\cdot a^n$$
Just imagine how cumbersome things would get!
ADD If you need a name for it, choose a sensible one and make it clear. I'd take $\text{alt}(n)$.