(Advent of Hackernews week 1) The Refined FizzBuzz

Hi everyone, i'll start weekly AoH (Advent of Hackernews), one problem weekly so that everyone could join and post concise solutions.

My problem this week:

Solve the fizzbuzz problem on fibonacci numbers.

Here's the output of first 30 numbers:

FizzBuzz 1 1 2 Fizz Buzz 8 13 Fizz 34 Buzz 89 Fizz 233 377 Buzz Fizz 1597 2584 4181 FizzBuzz 10946 17711 28657 Fizz Buzz 121393 196418 Fizz 514229