A185053 Number of disconnected 5-regular simple graphs on 2n vertices with girth exactly 3.

0, 0, 0, 0, 0, 0, 1, 3, 66, 8029, 3484759, 2595985769, 2815099031409

Offset: 0

Author

Jason Kimberley, Mar 10 2012

Keywords

• nonn
• hard
• more

Links

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

Crossrefs

Disconnected k-regular simple graphs with girth exactly 3: A210713 (any k), A210703 (triangle); for fixed k: A185033 (k=3), A185043 (k=4), this sequence (k=5), A185063 (k=6).

Formula

a(n) = A165655(n) - A185254(n).