A184981 Irregular triangle C(n,g) counting the connected 8-regular simple graphs on n vertices with girth at least g.

1, 1, 6, 94, 10786, 3459386, 1470293676, 733351105935, 1

Offset

9,3

Comments

The first column is for girth at least 3. The row length is incremented to g-2 when n reaches A054760(8,g).

Links

Table of n, a(n) for n=9..17.

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

Example

1;
1;
6;
94;
10786;
3459386;
1470293676;
733351105935, 1;
?, 0;
?, 1;
?, 0;
?, 13;
?, 1;

Crossrefs

Connected 8-regular simple graphs with girth at least g: this sequence (triangle); chosen g: A014378 (g=3), A181154 (g=4).

Connected 8-regular simple graphs with girth exactly g: A184980 (triangle); chosen g: A184983 (g=3).

Triangular arrays C(n,g) counting connected simple k-regular graphs on n vertices with girth at least g: A185131 (k=3), A184941 (k=4), A184951 (k=5), A184961 (k=6), A184971 (k=7), this sequence (k=8), A184991 (k=9).

Sequence in context: A296820 A184983 A184980 * A014378 A180260 A058465

Adjacent sequences: A184978 A184979 A184980 * A184982 A184983 A184984

Keyword

nonn,hard,more,tabf

Author

Jason Kimberley, Jan 19 2012

Status

approved