MathDB

In stage

0

the numbers are written:

1 , 1

. In stage

1

the sum of the numbers is inserted:

1, 2, 1

. In stage

2

, between each pair of numbers from the previous stage, the sum of them is inserted:

1, 3, 2, 3, 1

. One more stage:

1, 4, 3, 5, 2, 5, 3, 4, 1

. How many numbers are there in stage

10

? What is the sum of all the numbers in stage

10

Problem Statement