Challenge 2: Painting tiles, no two black together
We have some tiles (in a row) and we need to paint them. We have 2 colors, yellow and black.

Rules:
- You cannot place 2 black tiles together.
- You can use any number of black or yellow tiles.


Example: 3 tiles can be painted in the following 5 ways.
YYY, YBY, BYB, BYY, YYB

Can you find how many ways are there to paint 5 tiles?

What students worked out4
Student 1
This is what I found out it follows the Fibonacci scheme like in the last problem 8+5.
Student 3
13 POSSIBILITIES
YYYYY
YYYYB
YYYBY
YYBYY
YBYYY
BYYYY
YYBYB
YBYYB
BYYYB
YBYBY
BYYBY
BYBYY
BYBYBStudent 8
13
Student 6
YYYYY,
YYYYB
YYYBY
YYBYY
YBYYY
BYYYY
YYBYB
YBYYB
BYYYB
YBYBY
BYYBY
BYBYY
BYBYB