I refer to the typewriter sequence (see https://terrytao.wordpress.com/2010/10/02/245a-notes-4-modes-of-convergence/) defined by:
$$f_n := {\mathbb 1}_{\left[\dfrac{n-2^k}{2^k},\dfrac{n-2^k+1}{2^k}\right]}$$
Just curious, why is it called "typewriter" sequence?