frustrated. I wrote a long, heavily cited answer to your question, posted it, and now I see that the answer has completely disappeared!
Now I have to research the answer again to find the citations to legal authority (not your problem, but extremely annoying -- this website's bugs drive me nuts).
"[T]he parties must view the account as a final adjustment of the respective demands between them, for the account to be an “account stated,” and an account rendered for some other purpose will not be given the force and effect of an account that can be converted to an account stated." B.E.I., Inc. v. Newcomer Lumber & Supply Co., Inc., 745 N.E.2d 233 (IN Ct. App. 2001). See, also, Sandock v. Taylor Constr. (1981), Ind.App., 416 N.E.2d 882, 886 (failure to deny liability or object to invoices until after suit filed was failure to object within reasonable time and created account stated to permit award of prejudgment interest).
However, "An account stated amounts to more than an admission of an amount due. It is a new cause of action
and in a suit upon such an account, the inquiry is not directed to the original transaction out of which the account arose, but is directed to the questions of whether the parties had in fact agreed upon the amount due and whether the same was unpaid. The account stated arose originally out of transactions between merchants and persons engaged in commercial transactions, and the rule was evolved that the receipt by one of the parties of an account showing a balance against him and the retention thereof for a reasonable length of time sufficient to examine the same and make objections thereto, and a failure so to do, amounted to an approval of the statement rendered, and it thereby became an account stated." Bosson v. Brash (1916), 63 Ind.App. 86.
The Indiana statute of limitations on an account stated is six years (NY same). Troyer v. Cowles Products Co., Inc., 732 N.E.2d 246 (IN Ct. App. 2000).
In order to use account stated, the plaintiff must show that statements were routinely sent to the defendant and defendant never complained about the amounts claimed due and payable. So, if you were routinely receiving statements throughout the lease period, then the court may conclude that the statute of limitations did not start to run until the most recent statement was sent. But, if the statements stopped in the distant passed, you did not conceal your address from the lessor, and lessor simply decided to not sue you to enforce the debt, then I doubt that the account stated claim would prevail.
Hope this helps.