The Ruler function has the following property:
$$\forall n \in \mathbb{N}: f(2n) = f(n)+1,\, f(2n+1) = 1.$$
Is there any other function with this property?
The Ruler function has the following property:
$$\forall n \in \mathbb{N}: f(2n) = f(n)+1,\, f(2n+1) = 1.$$
Is there any other function with this property?