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%I
%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, D\'enombrement de multigraphes enrichis, M\'emoire, Math. Dept., Univ. Qu\'ebec \`a Montr\'eal, 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)*ln(1-ln(1-x))^n/n!, n=0..infinity). - _Vladeta Jovovic_, May 02 2004
%F E.g.f.: exp(-1)*Sum((1-ln(1-x))^(n^2)/n!,n=0..infinity). - _Vladeta Jovovic_, Mar 04 2008
%K nonn,changed
%O 0,2
%A Gilbert Labelle (gilbert(AT)lacim.uqam.ca), _Simon Plouffe_
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