The tl;dr version is US citizens can get a residency permit (2 years, renewable indefinitely, considered a non-temporary purpose of stay so you're eligible for permanent residency after 5 years) to start a business in the Netherlands with very few restrictions and very little in the way of capital requirements (€4500 in the business account.) Plenty of attorneys in the Netherlands can take care of the necessary paperwork for €1500, give or take, but lots of people manage it themselves too.
A few blogs and guides of the many out there:
https://daftvisa.wordpress.com/step-by-step-guide/ https://survivingdaft.tumblr.com/ http://passthesourcream.com/daft/