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Search: id:A014500
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| A014500 |
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Number of graphs with unlabeled (non-isolated) nodes and n labeled edges. |
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5
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| 1, 1, 2, 9, 70, 794, 12055, 233238, 5556725, 158931613, 5350854707, 208746406117, 9315261027289, 470405726166241, 26636882237942128, 1678097862705130667, 116818375064650241036, 8932347052564257212796
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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G. Labelle, Counting enriched multigraphs..., Discrete Math., 217 (2000), 237-248.
G. Paquin, D\'enombrement de multigraphes enrichis, M\'emoire, Math. Dept., Univ. Qu\'ebec \`a Montr\'eal, 2004.
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LINKS
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P. J. Cameron, Sequences realized by oligomorphic permutation groups, J. Integ. Seqs. Vol. 3 (2000), #00.1.5.
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FORMULA
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E.g.f.: exp(-1+x/2)*Sum((1+x)^binomial(n, 2)/n!, n=0..infinity) [probably in the Labelle paper] - Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 27 2004
E.g.f.: exp(x/2)*Sum(A020556(n)*(ln(1+x)/2)^n/n!, n=0..infinity). - Vladeta Jovovic (vladeta(AT)eunet.rs), May 02 2004
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CROSSREFS
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Cf. A020554, A020555, A014501.
Sequence in context: A121417 A167016 A108522 this_sequence A101482 A099717 A121879
Adjacent sequences: A014497 A014498 A014499 this_sequence A014501 A014502 A014503
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KEYWORD
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nonn
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AUTHOR
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Simon Plouffe, gilbert(AT)lacim.uqam.ca (Gilbert Labelle).
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