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Abacus diagram is a graphical representation for any partition μ of a positive integer t. This study presents the bead positions as a unite square in the graph and de ne a special type of e-abacus called nested chain abacus N which is represented by the connected partition. Furthermore, we redefined the polyominoes as a special type of e-abacus diagram. Also, this study reveals new method of enumerating polyominoes special design when e=2. Mathematics Subject Classification: 05A15

Enumeration Class of Polyominoes Defined by Two Column