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Search: id:A054346
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| A054346 |
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Number of inequivalent sublattices of index n in square lattice, where two lattices are considered equivalent if one can be rotated or reflected to give the other. |
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+0
3
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| 1, 1, 2, 2, 4, 3, 5, 3, 7, 5, 7, 4, 11, 5, 8, 8, 12, 6, 13, 6, 15, 10, 11, 7, 21, 9, 13, 12, 18, 9, 21, 9, 21, 14, 16, 13, 29, 11, 17, 16, 28, 12, 28, 12, 25, 21, 20, 13, 39, 16, 24, 20, 29, 15, 34, 18, 36, 22, 25, 16, 47, 17, 26, 29, 38, 21, 40, 18, 36, 26, 36, 19, 58, 20
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OFFSET
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0,3
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REFERENCES
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John S. Rutherford, Sublattice enumeration. IV. Equivalence classes of plane sublattices by parent Patterson symmetry and colour lattice group type, Acta Cryst. (2009). A65, 156163. [From N. J. A. Sloane, (njas(AT)research.att.com), Feb 23 2009]
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LINKS
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Index entries for sequences related to sublattices
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EXAMPLE
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For n = 1, 2, 3, 4 the sublattices are generated by the rows of:
[1 0] [2 0] [2 0] [3 0] [3 0] [4 0] [4 0] [2 0] [2 0]
[0 1] [0 1] [1 1] [0 1] [1 1] [0 1] [1 1] [0 2] [1 2]
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CROSSREFS
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Cf. A003051, A001615, A054345.
Sequence in context: A125185 A133438 A086671 this_sequence A145393 A132802 A070803
Adjacent sequences: A054343 A054344 A054345 this_sequence A054347 A054348 A054349
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 06 2000
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