I think you would find this has happened before. I suggest reading of the David Rice Atchison affair.(Which I'm sure our own James K. Polk could tell you more of. Also, if it is true, it makes Obama the 46th President, but then we may have lost count by now, if we go about it like this.) But though these little missteps can only make one acting President and therefore do not actually count on the list of real presidents. As Presidents are by definition elected officials, and not President pro tempore.
-Sin
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