Java 8 FizzBuzz with no conditionals, and no RxJava

FBJ8.java

package fizzbuzz;

import java.util.Arrays;
import java.util.Collection;
import java.util.Iterator;
import java.util.List;
import java.util.function.Function;
import java.util.stream.IntStream;
import java.util.stream.Stream;

public class FBJ8 {
    public static void main(String[] args) {
        Function<Integer,String> n  = Object::toString;
        Function<Integer,String> f  = num -> "Fizz";
        Function<Integer,String> b  = num -> "Buzz";
        Function<Integer,String> fb = num -> "FizzBuzz";

        List<Function<Integer,String>> fns = Arrays.asList(n,n,f,n,b,f,n,n,f,b,n,f,n,n,fb);

        Iterator<Function<Integer,String>> funcs = Stream.generate(() -> fns).flatMap(Collection::stream).iterator();

        IntStream.range(1, 500)
                 .mapToObj(i -> funcs.next().apply(i))
                 .limit(205)
                 .skip(200)
                 .forEach(System.out::println);
    }
}