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A121137 Number of labeled directed multigraphs (without loops) with n arcs and no vertex of degree 0. 1

%I #5 May 10 2013 12:45:46

%S 1,2,27,572,16787,631362,28980861,1570956872,98212870233,

%T 6956704585554,550626446263423,48163137319172436,4613554511554200251,

%U 480324019903607680066,54004504167811544647161,6521368218660772789452944

%N Number of labeled directed multigraphs (without loops) with n arcs and no vertex of degree 0.

%H Nathaniel Johnston, <a href="/A121137/b121137.txt">Table of n, a(n) for n = 0..50</a>

%p seq(sum(binomial(m*(m-1)+n-1,n)/2^(m+1),m=0..infinity),n=0..10);

%Y Cf. A052170 (unlabeled analog), A104209, A052171.

%K easy,nonn

%O 0,2

%A _Vladeta Jovovic_, Sep 06 2006

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Last modified April 18 20:26 EDT 2024. Contains 371781 sequences. (Running on oeis4.)