FizzBuzz on variadic templates & recursion

fizzbuzz.cpp

#include <iostream>
#include <utility>

namespace impl{
template <int N, int D, int R>
constexpr auto FizzBuzz = "";

template <int N>
constexpr auto FizzBuzz<N, 15, 0> = "fizzbuzz";

template <int N, int R>
constexpr auto FizzBuzz<N, 15, R> = FizzBuzz<N, 5, N % 5>;

template <int N>
constexpr auto FizzBuzz<N, 5, 0> = "buzz";

template <int N, int R>
constexpr auto  FizzBuzz<N, 5, R> = FizzBuzz<N, 3, N % 3>;

template <int N>
constexpr auto FizzBuzz<N, 3, 0> = "fizz";

template <int N, int R>
constexpr auto FizzBuzz<N, 3, R> = N;
}


template <int N>
constexpr auto FizzBuzz = impl::FizzBuzz<N, 15, N % 15>;


template <int ...Seq>
void printFizzBuzz(std::integer_sequence<int, Seq...>){
   ((std:: cout << FizzBuzz<1 + Seq> << "\n"), ...);
}

template <int N>
void FizzBuzzN(){
    printFizzBuzz(std::make_integer_sequence<int, N>{});
}

int main()
{
    FizzBuzzN<30>();
}