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Search: id:A165626
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| A165626 |
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Number of 5-regular graphs (quintic graphs) on 2n vertices. |
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+0
9
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OFFSET
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3,2
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COMMENT
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Because the triangle A051031 is symmetric, a(n) is also the number of (2n-6)-regular graphs on 2n vertices.
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REFERENCES
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M. Meringer, Fast Generation of Regular Graphs and Construction of Cages. Journal of Graph Theory, 30 (1999), 137-146.
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LINKS
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M. Meringer, Tables of Regular Graphs
N. J. A. Sloane, Transforms
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FORMULA
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Euler transformation of A006821.
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CROSSREFS
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Cf. A006821. Regular graphs A005176 (any degree), A051031 (triangular array), specified degrees: A000012 (k=0), A059841 (k=1), A008483 (k=2), A005638 (k=3), A033301 (k=4), A165626 (k=5), A165627 (k=6), A165628 (k=7).
Sequence in context: A085990 A036770 A006821 this_sequence A120307 A022915 A093883
Adjacent sequences: A165623 A165624 A165625 this_sequence A165627 A165628 A165629
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KEYWORD
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nonn,hard,more
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AUTHOR
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Jason Kimberley (Jason.Kimberley(AT)newcastle.edu.au), Sep 22 2009
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EXTENSIONS
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Regular graphs cross-references edited by Jason Kimberley (Jason.Kimberley(AT)newcastle.edu.au), Nov 07 2009
a(9) from Jason Kimberley (Jason.Kimberley(AT)newcastle.edu.au), Nov 24 2009
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