Originally Posted by

**janvdl** Now i know this might sound silly...

Being naturally curious, i was thinking by myself whether there might not be a way to determine the sum of all the numbers in this triangle by some method, depending on the number of rows it has. And also the sum of the numbers in the n-th row.

This is what i've discovered so far.

Row 1 = 1 ; Sum = 1

Row 2 = 1 1 ; Sum = 2

Row 3 = 1 2 1 ; Sum = 4

Row 4 = 1 3 3 1 ; Sum = 8

Row 5 = 1 4 6 4 1 ; Sum = 16

So the sum of these numbers in each row, are multiples of 2.