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A020565 Number of cyclic oriented multigraphs on n labeled arcs (with loops). 0


%S 1,2,15,205,4202,118096,4300364,195155304,10727473182,698874420944,

%T 53040545101942,4624423933685370,457851029540848580,

%U 50977215595819988320,6329927203532081983976,870296461701522595081624,131659595370255359745290076

%N Number of cyclic oriented multigraphs on n labeled arcs (with loops).

%D G. Labelle, Counting enriched multigraphs..., Discrete Math., 217 (2000), 237-248.

%D G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.

%F a(n) = Sum_{k=0..n} (-1)^(n-k)*Stirling1(n, k)*A014507(k). - _Vladeta Jovovic_, May 02 2004

%F E.g.f.: Sum(Bell(2*n)*log(1-log(1-x))^n/n!, n=0..infinity). - _Vladeta Jovovic_, May 02 2004

%F E.g.f.: exp(-1)*Sum((1-log(1-x))^(n^2)/n!,n=0..infinity). - _Vladeta Jovovic_, Mar 04 2008

%K nonn

%O 0,2

%A Gilbert Labelle (gilbert(AT)lacim.uqam.ca), _Simon Plouffe_

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Last modified February 6 13:21 EST 2016. Contains 268035 sequences.