Question 24
A barcode starts and ends with a black stripe, and consists of alternating black and white stripes. One example of a barcode is shown in the diagram below. It is read from left to right, and each stripe (whether black or white) has a width of 1 mm or 2 mm.
Let $b_n$ be the number of barcodes of length $n\in\mathbb N$. If we have $b_3=1$, $b_4=3$ and $b_5=4$, what is the value of $b_{14}$?
Let $b_n$ be the number of barcodes of length $n\in\mathbb N$. If we have $b_3=1$, $b_4=3$ and $b_5=4$, what is the value of $b_{14}$?