Consider the problem of building a wall out of 21 and 3
1 bricks (horizontal
vertical
dimensions) such that, for extra strength, the gaps between
horizontally-adjacent bricks never line up in consecutive layers, i.e.
never form a "running crack".
For example, the following 93 wall is not acceptable due to the running crack shown in red:
There are eight ways of forming a crack-free 93 wall, written W(9,3) = 8.
Calculate W(32,10).
These problems are part of Project Euler and are licensed under CC BY-NC-SA 2.0 UK