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A165628 Number of 7-regular graphs (septic graphs) on 2n vertices. +0
9
1, 5, 1547, 21609301, 733351105935 (list; graph; listen)
OFFSET

4,2

COMMENT

Because the triangle A051031 is symmetric, a(n) is also the number of (2n-8)-regular graphs on 2n vertices.

REFERENCES

M. Meringer, Fast Generation of Regular Graphs and Construction of Cages. Journal of Graph Theory, 30 (1999), 137-146.

LINKS

M. Meringer, Tables of Regular Graphs

N. J. A. Sloane, Transforms

FORMULA

Euler transformation of A014377.

CROSSREFS

Regular graphs A005176 (any degree), A051031 (triangular array), chosen 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: A062598 A145694 A014377 this_sequence A119747 A127106 A165877

Adjacent sequences: A165625 A165626 A165627 this_sequence A165629 A165630 A165631

KEYWORD

nonn,hard,more,new

AUTHOR

Jason Kimberley (Jason.Kimberley(AT)newcastle.edu.au), Sep 22 2009

EXTENSIONS

Cross-references edited by Jason Kimberley (Jason.Kimberley(AT)newcastle.edu.au), Nov 07 2009

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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