On negaFibonacci-esque Sequences and Their Relation to the Golden Ratio

Clemens Schütz, Kristian Kelly

The Fibonacci sequence, $F_n=F_{n-1}+F_{n-2}$, and its counterpart for $n<0$, the negaFibonacci sequence, $F_{-n}=(-1{)}^{n+1}\cdot F_n$, are among the most studied se…