MathNet 2003 — Part 03 Question 10

Define the Fibonacci numbers by $F_{0}=0$, $F_{1}=1$, $F_{n}=F_{n-1}+F_{n-2}$ for $n \geq 2$. For how many $n$, $0 \leq n \leq 100$, is $F_{n}$ a multiple of $13$?