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Problem of the Day #6: Tiling a 2 by 2 by n Box with Rectangular Prisms March 25, 2011

Posted by Billy in : potd , trackback

In how many distinct ways can $2n$ identical $1\times1\times2$ rectangular prisms be placed inside a $2\times2\times n$ box?



1. Billy - March 25, 2011

Note: I recently realized that this problem may have been written earlier by someone else somewhere on the internet, but I thought of it without having seen it beforehand.