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A184951
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Irregular triangle C(n,g) counting the connected 5-regular simple graphs on 2n vertices with girth at least g.
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7
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1, 3, 60, 1, 7848, 1, 3459383, 7, 2585136675, 388, 2807105250897, 406824
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OFFSET
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3,2
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COMMENTS
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The first column is for girth at least 3. The row length sequence starts: 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4. The row length is incremented to g-2 when 2n reaches A054760(5,g).
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LINKS
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Table of n, a(n) for n=3..14.
Jason Kimberley, Index of sequences counting connected k-regular simple graphs with girth at least g
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EXAMPLE
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1;
3;
60, 1;
7848, 1;
3459383, 7;
2585136675, 388;
2807105250897, 406824;
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CROSSREFS
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Connected 5-regular simple graphs with girth at least g: this sequence (triangle); chosen g: A006821 (g=3), A058275 (g=4), A205295 (g=5).
Connected 5-regular simple graphs with girth exactly g: A184950 (triangle); chosen g: A184953 (g=3), A184954 (g=4), A184955 (g=5).
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), this sequence (k=5), A184961 (k=6), A184971 (k=7), A184981 (k=8).
Sequence in context: A215609 A201184 A046024 * A081853 A183286 A195560
Adjacent sequences: A184948 A184949 A184950 * A184952 A184953 A184954
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KEYWORD
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nonn,hard,more,tabf
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AUTHOR
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Jason Kimberley, Jan 10 2012
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EXTENSIONS
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a(14) from Jason Kimberley, Dec 26 2012
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STATUS
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approved
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