Rose-Hulman Undergraduate Mathematics Journal Rose-Hulman Terre Haute, IN 47803 September 28, 2001 Dear Editor, Please consider the paper Patterns Within The Collatz Sequence for possible publication in the RHIT Mathematics Journal. The work on the paper was completed during the summer (2000) of my junior year at the University of Wyoming. My name is Brian Gilbert, and I am currently a senior at the University of Wyoming. The work on the paper was done as part of the McNair Scholars Program. My future plans are to finish my bachelors, and then attend graduate school where I plan on pursuing my Ph.D. The mathematician that will be acting as my reference for my paper will be Dr. Bryan Shader. If you need further information please contact me at: Brian Gilbert Department of Mathematics University of Wyoming P.O. Box 3036 Laramie, WY 82071-3036 Phone number: (307) 742-9907 Email Address: cwbywy@hotmail.com