# Tiling a square

Suppose we tile a square with non-overlapping pieces. How many sub-squares do we need? Suppose we'd like a decorative pattern like the one shown below. How many of each sub-type do we need?

n
=

Specifically, in terms of n, how many

- Total sub-squares,
- Blue sub-squares,
- Green sub-squares, and
- White sub-squares

do we need?