 Let $a\# b$ be defined as $ab-a-3$. For example, $4\#5=20-4-3=13$ Compute $(2\#0)\#(1\#4)$.
1. First, compute \(2 \# 0\):
   \[
   2 \# 0 = 2 \cdot 0 - 2 - 3 = 0 - 2 - 3 = -5
   \]

2. Next, compute \(1 \# 4\):
   \[
   1 \# 4 = 1 \cdot 4 - 1 - 3 = 4 - 1 - 3 = 0
   \]

3. Now, use the results from steps 1 and 2 to compute \((-5) \# 0\):
   \[
   -5 \# 0 = (-5) \cdot 0 - (-5) - 3 = 0 + 5 - 3 = 2
   \]

The final answer is \(\boxed{2}\).