Question 83
Pascal has a triangle. In the $n$th row, there are $n+1$ numbers $a_{n, 0}, a_{n, 1}, a_{n, 2}, \ldots, a_{n, n}$ where $a_{n, 0}=a_{n, n}=1$. For all $1 \leq k \leq n-1$, $a_{n, k}=a_{n-1, k}-a_{n-1, k-1}$. What is the sum of the absolute values of all numbers in the 2018th row?
Proposed by: Michael Ren
Proposed by: Michael Ren