No ABs in this string
Discrete Mathematics
Level
3
A string of \(n\) characters is made from the characters \(\text{A}\), \(\text{B}\), and \(\text{C}\).
Let \(G_n\) be the number of such strings of \(n\) characters which contain no instance of \(\text{AB}\) (in that order).
Write a recurrence relation for \(G_n\).
by
Andy Hayes