New Sweden
New Sweden was founded in 1638 on what is now Wilmington, DE. It included parts of Deleware, New Jersey and PA. The Swedes started it in direct competition to Dutch and English trade with the Indians. They didn't last long, less than 20 years, after the Dutch used their trade connections with the Monhegan Indians to cut off a link to other tribes. The Monhegans charged stiff tariffs on goods other tribes wanted to transport across their territories to Fort Christina, the Swedish town.
The Swedes countered by selling guns and powder directly to the Indians with no restrictions, something the Dutch and French had refused to do. This led to the Dutch having to sell gun and powder to the Monhegans as well, to keep them as allies. The Dutch eventually made the Swedish position untenable by cutting off thier access to the Atlantic. Sweden surrendered their claim on the territories in 1655, but the Indians had learned a valuble lesson. Not only could they control trade with the Europeans, they could play the Europeans against one another.
Probably more than you wanted to know...