Jane and Jena sit at non-adjacent chairs of a four-chair circular table. In a turn, one person can move to an adjacent chair without a person. Jane moves in the first turn, and alternates with Jena afterwards. In how many ways can Jena be adjacent to Jane after nine moves?<spanclass=′latex−bold′>(A)</span>16<spanclass=′latex−bold′>(B)</span>18<spanclass=′latex−bold′>(C)</span>32<spanclass=′latex−bold′>(D)</span>162<spanclass=′latex−bold′>(E)</span>512