Succession rules and deco polyominoes
Succession rules and Deco polyominoes
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,...
The height of directed column-convex polyominoes. (La hauteur des polyominos dirigés verticalement convexe.)
ECO method and hill-free generalized Motzkin paths.
Permutations avoiding an increasing number of length-increasing forbidden subsequences.
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