What's the Carbon Footprint of a Dollar?

This Earth Day I've been wondering what the carbon footprint of a dollar bill is. We certainly have a lot more of our carbon-based currency in circulation. I suppose that on net it's a good thing since it represents sequestered carbon. Still, the average life span of a dollar is less than two years where upon it's shredded. I wonder what they do with all that confetti money? Isn't that bad for the environment?