Compositions, Tilings, and Numerical Strings
We consider colored-compositions of an integer, a generalization of traditional integer compositions. Through tiling representations, we show bijections between various types of colored-compositions and numeric strings. One of the approaches used generalizes the classic bijection between traditional compositions and binary strings.
Palmetto Number Theory Series (PANTS)
"Compositions, Tilings, and Numerical Strings."
Mathematical Sciences Faculty Presentations.