A185216 Number of disconnected regular simple graphs on n vertices with girth at least 6.

0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 2, 4, 3, 5, 4, 7, 6, 9, 9, 12, 12, 17, 17, 22, 24, 31, 32, 42, 44, 60, 60, 109, 80, 529, 107, 8246, 143, 191422, 188, 4856141, 248, 127938143, 326, 3482858640, 424, 98176518751, 552

Offset

0,5

Links

Table of n, a(n) for n=0..49.

Jason Kimberley, Disconnected regular graphs with girth at least 6

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

Crossrefs

Disconnected k-regular simple graphs with girth at least 6: this sequence (all k), A185206 (triangle); A185226 (k=2), A185236 (k=3), A185246 (k=4).

Disconnected regular graphs with girth at least g: A068932 (g=3), A185214 (g=4), A185215 (g=5), this sequence (g=6), A185217 (g=7).

Sequence in context: A161057 A161261 A161286 * A247976 A280986 A344773

Adjacent sequences: A185213 A185214 A185215 * A185217 A185218 A185219

Keyword

nonn,hard

Author

Jason Kimberley, Jun 21 2012

Status

approved