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A186719 Irregular triangle C(n,k): number of connected k-regular simple graphs on n vertices with girth at least nine. 10
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,166

LINKS

Jason Kimberley, Table of i, a(i) for i = 1..166 (n = 1..58)

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

EXAMPLE

1;

0, 1;

0, 0;

0, 0;

0, 0;

0, 0;

0, 0;

0, 0;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1;

0, 0, 1, 18;

CROSSREFS

Triangular arrays C(n,k) counting connected simple k-regular graphs on n vertices with girth at least g: A068934 (g=3), A186714 (g=4), A186715 (g=5), A186716 (g=6), A186717 (g=7), A186718 (g=8), this sequence (g=9).

Triangular arrays C(n,k) counting connected simple k-regular graphs on n vertices with girth exactly g: A186733 (g=3), A186734 (g=4).

Connected k-regular simple graphs with girth at least 9: A186729 (all k), this sequence (triangular array), A185119 (k=2).

Sequence in context: A240353 A014061 A014053 * A014037 A016419 A016391

Adjacent sequences:  A186716 A186717 A186718 * A186720 A186721 A186722

KEYWORD

nonn,hard,tabf

AUTHOR

Jason Kimberley, Nov 29 2011

STATUS

approved

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Last modified March 18 16:00 EDT 2019. Contains 321292 sequences. (Running on oeis4.)