Question 19
An array of numbers is constructed beginning with the numbers $-1,$ $3,$ $1$ in the top row. Each adjacent pair of numbers is summed to produce a number in the next row. Each row will begin and end with the numbers $-1$ and $1,$ respectively. The first three rows are shown below.
If the process continues, one of the rows will sum to $12{,}288.$ In that row, what is the third number from the left?
If the process continues, one of the rows will sum to $12{,}288.$ In that row, what is the third number from the left?