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Search: id:A056877
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| A056877 |
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Number of polyominoes with n cells, symmetric about axis 2. |
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+0
12
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| 0, 1, 1, 1, 1, 2, 3, 4, 4, 8, 10, 15, 17, 30, 35, 60, 64, 117, 128, 236, 241, 459, 476, 937, 912, 1813, 1789, 3706
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OFFSET
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1,6
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COMMENT
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This sequence counts polyominoes with exactly the symmetry group D_4 generated by horizontal and vertical reflections.
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REFERENCES
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D. H. Redelmeier, Counting polyominoes: yet another attack, Discrete Math., 36 (1981), 191-203.
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LINKS
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Tomas Oliveira e Silva, Enumeration of polyominoes
D. H. Redelmeier, Table 3 of Counting polyominoes...
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CROSSREFS
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Cf. A000105, A001168, A006746, A056877, A006748, A056878, A006747, A006749.
Sequences classifying polyominoes by symmetry group: A000105, A006746, A006747, A006748, A006749, A056877, A056878, A142886, A144553, A144554.
Sequence in context: A028298 A047966 A097093 this_sequence A118263 A102539 A118022
Adjacent sequences: A056874 A056875 A056876 this_sequence A056878 A056879 A056880
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Sep 03 2000
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