Tiling with Tetrominos
Source: Cono Sur Olympiad 2017, problem 3
August 18, 2017
combinatoricscono sur
Problem Statement
Let be a positive integer. In how many ways can a grid be tiled with the following tetromino?
[asy]
size(4cm);
draw((1,0)--(3,0)--(3,1)--(0,1)--(0,0)--(1,0)--(1,2)--(2,2)--(2,0));
[/asy]