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A054955 Number of labeled Eulerian digraphs with n nodes and an even number of edges. 4

%I #18 Aug 27 2019 10:11:31

%S 1,2,8,88,3928,688336,438953344,1023160206720,8829110851362176,

%T 284886609918484446976,34640035331694391965082624,

%U 15970703846423879100652101753856,28060860469435555251136195653129640960,188681219498365676664628141013181402003089408

%N Number of labeled Eulerian digraphs with n nodes and an even number of edges.

%H V. A. Liskovets, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL3/LISK/Derseq.html">Some easily derivable sequences</a>, J. Integer Sequences, 3 (2000), #00.2.2.

%F a(n) = (A007080(n) + n!)/2. - _Andrew Howroyd_, Sep 10 2018

%t A007080 = Cases[Import["https://oeis.org/A007080/b007080.txt", "Table"], {_, _}][[All, 2]];

%t a[n_] := (A007080[[n]] + n!)/2;

%t Array[a, 14] (* _Jean-François Alcover_, Aug 27 2019 *)

%Y Cf. A007080, A054956.

%K nonn,easy

%O 1,2

%A _N. J. A. Sloane_, May 24 2000

%E More terms from _Vladeta Jovovic_, Mar 05 2001

%E a(12)-a(14) from _Andrew Howroyd_, Sep 10 2018

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Last modified August 12 04:50 EDT 2024. Contains 375085 sequences. (Running on oeis4.)