For \( n \ge 2 \), let \( S_{n} \) denote the set of all subsets of \( \{1,2,\ldots,n\} \) with no two consecutive numbers. For example \( \{1,3,5\} \in S_{6} \) but \( \{1,2,4\} \notin S_{6} \). Then \( n\!\left(S_{5}\right) \) is equal to ____________.
