Standard notation for the indicator function of the odd integers

Question

Is there a commonly used notation for the indicator function of the odd integers? One candidate I think is $$1_{2\mathbb{Z}+1}(x),$$ and I could always define one, $$\chi(x)=\left\{\begin{array}{ll} 1 &\text{if }x\text{ is odd} \\0 &\text{otherwise} \end{array}\right..$$ Just wanted to ask the community as I can't find much online.