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Succession rules and Deco polyominoes

Elena BarcucciSara BrunettiFrancesco Del Ristoro — 2010

RAIRO - Theoretical Informatics and Applications

In this paper, we examine the class of "deco" polyominoes and the succession rule describing their construction. These polyominoes are enumerated according to their directed height by factorial numbers. By changing some aspects of the "factorial" rule, we obtain some succession rules that describe various "deco" polyomino subclasses. By enumerating the subclasses according to their height and width, we find the following well-known numbers: Stirling numbers of the first and second kind,...

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