Sum

Do you mean: Solve for S(n) where
\(\displaystyle S(n) = \underset{k=1}{\overset{n}{\Sigma}}\, k^k\)

If so, I'm not sure there is a 'nice' answer.
 
i mean is there a formula for this sum?
The summation is "a formula" (an expression) for the sum. Do you maybe mean "a closed form" expression for the sum, in terms only of "n"?
 
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