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Search: id:A020565
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| A020565 |
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Number of cyclic oriented multigraphs on n labeled arcs (with loops). |
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+0
1
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| 1, 2, 15, 205, 4202, 118096, 4300364, 195155304, 10727473182, 698874420944, 53040545101942, 4624423933685370, 457851029540848580, 50977215595819988320, 6329927203532081983976, 870296461701522595081624, 131659595370255359745290076
(list; graph; listen)
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OFFSET
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0,2
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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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FORMULA
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a(n) = Sum_{k=0..n} (-1)^(n-k)*Stirling1(n, k)*A014507(k). - Vladeta Jovovic (vladeta(AT)Eunet.yu), May 02 2004
E.g.f.: Sum(Bell(2*n)*ln(1-ln(1-x))^n/n!, n=0..infinity). - Vladeta Jovovic (vladeta(AT)Eunet.yu), May 02 2004
E.g.f.: exp(-1)*Sum((1-ln(1-x))^(n^2)/n!,n=0..infinity). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 04 2008
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CROSSREFS
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Adjacent sequences: A020562 A020563 A020564 this_sequence A020566 A020567 A020568
Sequence in context: A042355 A020557 A124558 this_sequence A099718 A143881 A132493
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KEYWORD
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nonn
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AUTHOR
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Gilbert Labelle (gilbert(AT)lacim.uqam.ca), Simon Plouffe (plouffe(AT)math.uqam.ca)
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