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A184953 Number of connected 5-regular (or quintic) simple graphs on 2n vertices with girth exactly 3. 12
0, 0, 0, 1, 3, 59, 7847, 3459376, 2585136287, 2807104844073 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..9.

Jason Kimberley, Index of sequences counting connected k-regular simple graphs with girth exactly g

Weisstein, Eric W., Girth

Weisstein, Eric W., Quintic Graph

FORMULA

a(n) = A006821(n) - A058275(n).

CROSSREFS

Connected k-regular simple graphs with girth exactly 3: A006923 (k=3), A184943 (k=4), this sequence (k=5), A184963 (k=6), A184973 (k=7), A184983 (k=8), A184993 (k=9).

Connected 5-regular simple graphs with girth at least g: A006821 (g=3), A058275 (g=4).

Connected 5-regular simple graphs with girth exactly g: this sequence (g=3), A184954 (g=4), A184955 (g=5).

Sequence in context: A013526 A305597 A062629 * A185153 A215609 A201184

Adjacent sequences:  A184950 A184951 A184952 * A184954 A184955 A184956

KEYWORD

nonn,more,hard

AUTHOR

Jason Kimberley, Feb 27 2011

STATUS

approved

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Last modified March 19 04:23 EDT 2019. Contains 321311 sequences. (Running on oeis4.)