A185153 Number of not necessarily connected 5-regular simple graphs on 2n vertices with girth exactly 3.

0, 0, 0, 1, 3, 59, 7848, 3459379, 2585136353, 2807104852102

Offset

0,5

Links

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

Jason Kimberley, Index of sequences counting not necessarily connected k-regular simple graphs with girth exactly g

Formula

a(n) = A165626(n) - A185354(n).

a(n) = A184953(n) + A185053(n).

Crossrefs

Not necessarily connected k-regular simple graphs girth exactly 3: A198313 (any k), A185643 (triangle); fixed k: A026796 (k=2), A185133 (k=3), A185143 (k=4), this sequence (k=5), A185163 (k=6).

Sequence in context: A369949 A062629 A184953 * A215609 A360837 A201184

Adjacent sequences: A185150 A185151 A185152 * A185154 A185155 A185156

Keyword

nonn,hard,more

Author

Jason Kimberley, Mar 12 2012

Status

approved