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A020562 Number of cyclic multigraphs on n labeled edges (without loops). 0

%I #20 Apr 26 2019 08:03:59

%S 1,1,3,17,152,1933,32608,695657,18148533,564860131,20581455139,

%T 864802010595,41392831046804,2233799248861031,134737655762330602,

%U 9015762313899965851,664889968074287179739

%N Number of cyclic multigraphs on n labeled edges (without loops).

%H G. Labelle, <a href="https://doi.org/10.1016/S0012-365X(99)00265-4">Counting enriched multigraphs according to the number of their edges (or arcs)</a>, Discrete Math., 217 (2000), 237-248.

%H G. Paquin, <a href="/A038205/a038205.pdf">Dénombrement de multigraphes enrichis</a>, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004. [Cached copy, with permission]

%F a(n) = Sum_{k=0..n} (-1)^(n-k)*Stirling1(n, k)*A014500(k). - _Sean A. Irvine_, Apr 25 2019

%Y Cf. A014500.

%K nonn

%O 0,3

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

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)