I don't think think it's fair to call this EAV actually. It sounds like the integers are a collection of things which represent the same thing. Ie, they're all bank balances or all distances driven, just for different time periods. Storing all objects representing the same thing in the same column is just a regular normalized table, not EAV.
You might want to consider partitioning the table of integers by type to facilitate dropping the old ones. But that's an administrative trick, not a fundamental schema design decision.
Unfortunatly there is no "type" here. One can make no distinction between the integers and one can not tell when they are added or dropped.
