A185033 Number of disconnected 3-regular simple graphs on 2n vertices with girth exactly 3.

0, 0, 0, 0, 1, 2, 8, 29, 138, 774, 5678, 53324, 622716, 8604351, 135344959, 2363662004, 45134533117, 933058713014, 20735549517852, 492653820710746

Offset

0,6

Links

Table of n, a(n) for n=0..19.

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

Formula

a(n) = A165653(n) - A185234(n).

Crossrefs

Disconnected k-regular simple graphs with girth exactly 3: A210713 (any k), A210703 (triangle); for fixed k: this sequence (k=3), A185043 (k=4), A185053 (k=5), A185063 (k=6).

Disconnected 3-regular simple graphs with girth exactly g: this sequence (g=3), A185034 (g=4), A185035 (g=5), A185036 (g=6), A185037 (g=7).

Sequence in context: A150756 A150757 A150758 * A287045 A009419 A000162

Adjacent sequences: A185030 A185031 A185032 * A185034 A185035 A185036

Keyword

nonn,more,hard

Author

Jason Kimberley, Feb 29 2012

Status

approved