Cascaded One-Zero Filter IR
This is called a binomial filter. Its transfer function can be written as

$$H(z)=\frac{1}{2^M}\sum_{n=0}^M{M\choose n}z^{-n}\tag{1}$$

which gives

$$h[n]=\frac{1}{2^M}{M\choose n},\qquad 0\le n\le M\tag{2}$$

for its impulse response.

As mentioned in a comment, such a filter can be used to approximate a Gaussian filter. Also take a look at this related question and its answers.