# Taylor The Roof Tiler

Taylor the roof tiler wants to know how many different perimeters can be obtained by tiling $$N$$ tiles on a grid. The tiles are squares with side length 1 meter and are placed in such a way so that each tile is joined with at least one other tile.

There are 4 different ways of tiling $$N=2$$ tiles as shown above. The sum of the possible distinct perimeters for $$N=2$$ tiles is 8+6=14 (meters).

What is the sum of the possible distinct perimeters for $$N=7$$ tiles?

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