Marc,
The book "Living and Working in France/Chez vous en France" (3rd edition, by Genevieve Brame, published by Kogan Page, 2004, p. 87) says that "A child born of at least one French parent is French at birth, wherever he or she is born." It may be that you already have French citizenship, but the French government doesn't know of your existence.
You probably want to inquire at the nearest French consulate or embassy about this. Start with the Washington, D.C., embassy Web site: http://www.info-france-usa.org/ .
You may end up getting (1) a carte consulaire/carte d'immatriculation to register you on the French citizenship rolls and (2) a carte nationale d'identite if you want to use your citizenship for travel or work. Those will help you get a French passport, if you want one.
Expect the staff at your local French consulate to be efficiently cool rather than warm and smiling. Be persistently polite and get ready for some resistance. An ability to speak French is helpful but no guarantee of a better experience. Assume that you will have to make more than one trip to that office to conduct your business.
If your father is still alive and can go with you, bring him and his vital documents along. I brought my mother, and her presence was a big help.
Best of luck!
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