Trying to define a way to generate the terms of a sequence, and starting with the number 5, I found, surprisingly, that the way I used generated this sequence:

5, 8, 11, 5, 8, 11, 5, 8, 11, ...

And these 3 numbers repeat in this order indefinitely.

Define a simple way to generate this sequence.

(In reply to to the question posed in the official solution (spoiler) by Charlie)

Ty for your work, Charlie. The conjecture is mine, occurred when I decided to make a change in a problem, slightly different from this one. 

Posted by pcbouhid on 2009-03-11 18:11:41