Abstract
Builds a one-to-one correspondence between some polyominoes, called parallelogram polyominoes, and some heaps of segments. Then the author derives explicit expressions for the generating function of convex polyominoes, according to their height, width and area. The author also enumerates two subsets of convex polyominoes, namely the directed and convex polyominoes and the parallelogram polyominoes, according to these three parameters. Generating functions of polyominoes having a fixed width are also studied.
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