Enumeration of generalized polyominoes
Abstract
As a generalization of polyominoes we consider edge-to-edge connected nonoverlapping unions of regular k-gons. For n 4 we determine formulas for the number ak(n) of generalized polyominoes consisting of n regular k-gons. Additionally we give a table of the numbers ak(n) for small k and n obtained by computer enumeration. We finish with some open problems for k-polyominoes.
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