A185217 Number of disconnected regular simple graphs on n vertices with girth at least 7.

0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 2, 4, 3, 5, 4, 6, 6, 8, 8, 11, 11, 14, 15, 19, 20, 25, 27, 33, 36, 43, 48, 57, 63, 74, 83, 97, 108, 126, 141, 163, 183, 210, 236, 272, 304, 350, 390, 471, 498, 1175, 635, 32957, 807, 1886322, 1022, 101215816, 1291, 5025322391

Offset

0,5

Links

Table of n, a(n) for n=0..62.

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

Crossrefs

Disconnected regular graphs with girth at least g: A068932 (g=3), A185214 (g=4), A185215 (g=5), A185216 (g=6), this sequence (g=7).

Disconnected k-regular simple graphs with girth at least 7: this sequence (all k), A185207 (triangle); A185227 (k=2), A185237 (k=3).

Sequence in context: A161059 A161263 A161288 * A131456 A074944 A245041

Adjacent sequences: A185214 A185215 A185216 * A185218 A185219 A185220

Keyword

nonn,hard

Author

Jason Kimberley, Oct 27 2012

Status

approved