One can compute the rook polynomial of the following board:

![enter image description here][1]

by transforming it to the following equivalent board,

![enter image description here][2]

which is a Ferrers board, and then using the formula given here: http://mathoverflow.net/questions/20423/how-to-compute-the-rook-polynomial-of-a-ferrers-board

Is it possible to use a similar trick to compute the rook polynomial of boards that look something like this?

![enter image description here][3]


  [1]: https://i.sstatic.net/CcWUK.png
  [2]: https://i.sstatic.net/lfz3p.png
  [3]: https://i.sstatic.net/auDEg.png