Question Number 7227 by FilupSmith last updated on 17/Aug/16
$${S}=\underset{{t}=\mathrm{1}} {\overset{{n}} {\sum}}\left(−\mathrm{1}\right)^{{t}} {t}^{{k}} {k}^{−{n}} ,\:{k}>\mathrm{1} \\ $$$$\mathrm{Solve}\:\mathrm{for}\:{S} \\ $$
S-t-1-n-1-t-t-k-k-n-k-gt-1-Solve-for-S-