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.
I don't know why you say "ArrayList is wrong", or why the interface "AbstractSequentialList" changes anything. A list, by definition, keeps its elements in a specified order. ArrayList does, LinkedList does, and so do all other Lists.
Did you have some specific problem with ArrayList that we can help you with?