Problem 50: Number Challenge

In this number challenge you are going to start with a three digit number. Next step, you should write one less of the first number to the end and double the second and third digit and write the result to the front in the new number.

Here is an example:

1.      812

2.    247

3.     941

4.   827

5.     547

6.   946

7.    928

8.   568

9.    1364

In this example, the numbers reach to four digits in nine steps. It is not possible to reach to the ninth step every time as you can see below:

1. 124

2.480

3.1603 

Can you produce sequences of numbers continuing with more than nine numbers?

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