These coins are sometimes marketed as "New York Pennies", in the hope that this will convince American collectors to pay more for them. But they don't really have anything to do with colonial America, they were struck by the Dutch East India Company, for use in what is now Indonesia, not the Dutch West India Company which ran the Dutch colonies in the Americas. Any such coins that happened to make their way to the Americas would have been incidental and very small in number, and would have arrived long after the British took over New Amsterdam in 1664 and renamed it New York.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis