Hello,

Question

I'm trying to find the following sequence that relates to the number of ways that paving stones can be laid to make a 3-foot-wide path using 3-foot
by 1-foot stones.

This is a very complex problem, and I'd appreciate a little help to start me off in the right direction, or some links to a similar problem. I know Dr. Math has a link, but can someone give me another?

Thank you. Have a good weekend :]

Answer 1

Maybe I'm missing something -- but I only see two ways of laying these stones to make a 3-foot-wide path. I assume you don't want to cut these stones so you must lay them perpendicular to the sides of the path.

You either lay them in rows of three across -- with the 1-foot long sides parallel with the sides of the path -- or each stone is placed the other way with the 3-foot long sides parallel with the sides of the path.

Answer 2

I misstated the previous answer. Sorry.

You either lay them in rows of three across -- with the 3-foot-long sides parallel with the sides of the path or each stone is placed the other way with the 1-foot-long sides parallel with the sides.