====== Bruce Sagan (Michigan State) ====== ====== Congruences for Combinatorial Sequences ====== ===== Abstract for the Colloquium 2005 April 22 ===== We derive congruences for various sequences involving binomial coefficients. In particular, we are able to prove some conjectures of Benoit Cloitre. Surprisingly, the Thue-Morse sequence (from the theory of combinatorics on words) makes an appearance. I will not assume any prior knowledge of combinatorics. This is joint work with Emeric Deutsch. ----