main = print (fizzbuzz 1 100)

fizzbuzz :: Integer -> Integer -> [String]
fizzbuzz x y | x > y           = []
             | (mod x 15) == 0 = "FizzBuzz" : fizzbuzz (x + 1) y
             | (mod x 3)  == 0 = "Fizz"     : fizzbuzz (x + 1) y
             | (mod x 5)  == 0 = "Buzz"     : fizzbuzz (x + 1) y
             | otherwise       = (show x)   : fizzbuzz (x + 1) y

["1","2","Fizz","4","Buzz","Fizz","7","8","Fizz","Buzz","11","Fizz","13","14","FizzBuzz","16","17","Fizz","19","Buzz","Fizz","22","23","Fizz","Buzz","26","Fizz","28","29","FizzBuzz","31","32","Fizz","34","Buzz","Fizz","37","38","Fizz","Buzz","41","Fizz","43","44","FizzBuzz","46","47","Fizz","49","Buzz","Fizz","52","53","Fizz","Buzz","56","Fizz","58","59","FizzBuzz","61","62","Fizz","64","Buzz","Fizz","67","68","Fizz","Buzz","71","Fizz","73","74","FizzBuzz","76","77","Fizz","79","Buzz","Fizz","82","83","Fizz","Buzz","86","Fizz","88","89","FizzBuzz","91","92","Fizz","94","Buzz","Fizz","97","98","Fizz","Buzz"]