This week's book giveaway is in the OO, Patterns, UML and Refactoring forum. We're giving away four copies of Refactoring for Software Design Smells: Managing Technical Debt and have Girish Suryanarayana, Ganesh Samarthyam & Tushar Sharma on-line! See this thread for details.
It may be worthwhile to use Quartz for this. Neither Timer nor ScheduledThreadPoolExecutor supports what you want directly. Either roll your own as Paul C advises, or use a third-party library like Quartz.