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Search: id:A112849
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| A112849 |
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Number of congruence classes (epimorphisms/vertex partitionings induced by graph endomorphisms) of undirected cycles of even length: |C(C_2n)|. |
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+0 2
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| 1, 4, 11, 36, 127, 463, 1717, 6436, 24311, 92379, 352717, 1352079, 5200301, 20058301
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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M. A. Michels, About The Structure of Graph Endomorphisms, Diploma thesis, University of Oldenburg, Germany, 2005
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FORMULA
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|C(C_2n)| = 1 + (1/2)*binomial(2n-1, n-1) + (1/2)*binomial(2n-1, n)
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CROSSREFS
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Cf. A112850.
Adjacent sequences: A112846 A112847 A112848 this_sequence A112850 A112851 A112852
Sequence in context: A054577 A106640 A109268 this_sequence A054105 A017939 A130494
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KEYWORD
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easy,nonn
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AUTHOR
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Martin Alexander Michels (martinmichels(AT)t-online.de), Sep 24 2005
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