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Search: id:A054345
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| A054345 |
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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 to give the other. |
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+0
5
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| 1, 1, 2, 2, 4, 3, 6, 4, 8, 7, 8, 6, 14, 7, 12, 10, 16, 9, 20, 10, 18, 16, 18, 12, 30, 13, 20, 20, 28, 15, 30, 16, 32, 24, 26, 20, 46, 19, 30, 26, 38, 21, 48, 22, 42, 33, 36, 24, 62, 29, 38, 34, 46, 27, 60, 30, 60, 40, 44, 30, 70, 31, 48, 52, 64, 33, 72, 34, 60, 48, 60
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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, A054346, A054384.
Sequence in context: A161660 A060766 A029578 this_sequence A060367 A062968 A053197
Adjacent sequences: A054342 A054343 A054344 this_sequence A054346 A054347 A054348
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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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