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A185254 Number of disconnected 5-regular simple graphs on 2n vertices with girth at least 4. 12
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 8, 395, 407240, 1125431866, 3814677304834 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,13

LINKS

Table of n, a(n) for n=0..16.

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

CROSSREFS

5-regular simple graphs on 2n vertices with girth at least 4: A058275 (connected), this sequence (disconnected), A185354 (not necessarily connected).

Disconnected k-regular simple graphs with girth at least 4: A185214 (any k), A185204 (triangle); specified degree k: A185224 (k=2), A185234 (k=3), A185244 (k=4), this sequence (k=5), A185264 (k=6), A185274 (k=7), A185284 (k=8), A185294 (k=9).

Sequence in context: A012825 A221252 A165036 * A221224 A281439 A220550

Adjacent sequences:  A185251 A185252 A185253 * A185255 A185256 A185257

KEYWORD

nonn,hard,more

AUTHOR

Jason Kimberley, Feb 22 and Nov 04 2011

STATUS

approved

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Last modified February 23 13:37 EST 2020. Contains 332159 sequences. (Running on oeis4.)