I was working on a problem which involves computation power sum (summation of $k^{th}$ power of first natural number), can someone help me how to simplify the below equation.
I can compute power sum $n^k$ efficiently.
Below is the given equation
$$f(0,n,k)=n^k$$ $$f(m,n,k)=\sum_{i=0}^n f(m-1,i,k)$$
Problem link