I would recommend searching for the Collatz Conjecture (also called 3n+1 problem). It's a more common name. A little explanation though:
You start with natural number $n$. If it's even, you go to $\frac{n}{2}$. If it is odd, you go to $3n+1$, which then will be even of course. Then repeat this process again and again. The Terros sequence is pretty much a modified Collatz sequence, just that you skip the even number $3n+1$ and directy go to $\frac{3n+1}{2}$. The interesting aspect is to find out where this sequence goes in the end. The conjecture states that for any starting point you end up in the circle $1\rightarrow4\rightarrow2\rightarrow1$. However this is not yet proven.
PS: For Terros the circle would of course be $1\rightarrow2\rightarrow1$.