Double-Recurrence Fibonacci Numbers and Generalizations

Carlos Alirio Rico Acevedo, Ana Paula Chaves

Let $(F_n{)}_{n\ge 0}$ be the Fibonacci sequence given by the recurrence $F_{n+2}=F_{n+1}+F_n$, for $n\ge 0$, where $F_0=0$ and $F_1=1$. There are several generalizations of this s…