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Exactly what it says in the title. What are the ramifications if Andrew Jackson died in the Battle of New Orleans. To keep the battle itself as close to OTL as possible let's presume he is wounded and succumbs to the wound after the battle. Other than him becoming an American martyr what happens without a Jackson presidency or his actions in the Seminole War?
Edit: I tried searching for this to see if its been done but couldn't find anything, so if its been answered and I overlooked it I don't mind a link to the relevent thread as a response.