3 problems

Consider the generalized Ulam–Kac adder … where $\gamma$ is the parameter in the source's generalized recurrence. Let $c_m$ denote the corresponding moment-growth constants, and le…

Let $(X_n)_{n\geq 0}$ be the Ulam–Kac adder sequence, and let convergence in law be denoted by $\to$. Central-limit conjecture. There are positive constants $\mu$ and $\sigma$ such…

Let $(X_n)_{n\geq 0}$ be the Ulam–Kac adder sequence, and write $f(n)\sim g(n)$ when $\lim_{n\to\infty}f(n)/g(n)=1$. For each positive integer $m$, let $c_m$ denote the constant go…