Shortcut Collatz function
= Shortcut Collatz function
The <Collatz function> is not very elegant in that the odd $3n + 1$ case is always even because $n$ is odd, so it is always predictably followed by a division by two. This is not the case for the even case, where the result can be either even or odd.
A much more elegant formulation is to immediately also divide by two when the number is odd:
$$
\frac{3n + 1}{2}
$$