How do we calculate for a given n and k the value of $\displaystyle S_n=T_n+U_n$ where $\displaystyle T_n=1^k+2^k+3^k+..n^k$ and $\displaystyle U_n= 1^1+2^2+3^3+..n^n$
Is this some kind of series/is there any general formula to it ?
Thanks.
How do we calculate for a given n and k the value of $\displaystyle S_n=T_n+U_n$ where $\displaystyle T_n=1^k+2^k+3^k+..n^k$ and $\displaystyle U_n= 1^1+2^2+3^3+..n^n$
Is this some kind of series/is there any general formula to it ?
Thanks.