  In this study, we explore the properties of certain solutions of Hofstadter's
famous $V$-recurrence, defined by the nested recurrence relation
$V(n)=V(n-V(n-1))+V(n-V(n-4))$. First, we discover the nature behind a finite
chaotic meta-Fibonacci sequence in terms of mortality in the $V$-recurrence.
Then, we construct a new kind of quasi-periodic solution which suggests a
connection with another Hofstadter-Huber recursion, $H(n)= H(n-H(n-2)) +
H(n-H(n-3))$.
