%0 Journal Article
%T Congruence properties of binary partition functions
%A Katherine Anders
%A Melissa Dennison
%A Bruce Reznick
%A Jennifer Weber
%J Mathematics
%D 2011
%I arXiv
%X Let A be a finite subset of the natural numbers containing 0, and let f(n) denote the number of ways to write n in the form $\sum e_j2^j$, where $\e_j \in A$. We show that there exists a computable T = T(A) so that the sequence (f(n) mod 2) is periodic with period T. Variations and generalizations of this problem are also discussed.
%U http://arxiv.org/abs/1102.5355v1