MathDB

We build a modified version of Pascal’s triangle as follows: in the first row we write a

2

and a

3

, and in the further rows, every number is the sum of the two numbers directly above it (and rows always begin with a

2

and end with a

3

). In the

13

th row, what is the

5

th number from the left? https://cdn.artofproblemsolving.com/attachments/7/2/58e1a9f43fa7c304bfd285fc1b73bed883e9a6.png

Problem Statement