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 A058338 Number of digraphs with indegree = outdegree at each vertex, or Eulerian digraphs (including disconnected graphs) with n nodes. 7
 1, 1, 2, 5, 18, 111, 2292, 181519, 51294836, 48814342597, 157166848652408, 1736132851915020181, 66689407510956897981608, 9012860249531358132125181323, 4328664025050045497712238253179872, 7451990930474005836163802713084971814275, 46329549163592383403451764167315165130121820112 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Every regular tournament (A096368) is a Eulerian digraph. Similar methods may be used to compute terms of this sequence. - Andrew Howroyd, Apr 12 2020 REFERENCES F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, NY, 1973, p. 219 (but there is an error). R. C. Read (rcread(AT)math.uwaterloo.ca), email to N. J. A. Sloane, 28 August, 2000. LINKS FORMULA Euler transform of A058337. MATHEMATICA A058337 = Cases[Import["https://oeis.org/A058337/b058337.txt", "Table"], {_, _}][[All, 2]]; (* EulerTransform is defined in A005195 *) EulerTransform[Rest @ A058337] (* Jean-François Alcover, Feb 23 2020, upated Mar 18 2020 *) CROSSREFS Cf. A007080 (labeled), A058337 (connected), A096368, A308161, A308111. Sequence in context: A007769 A174122 A005805 * A006896 A125625 A281532 Adjacent sequences:  A058335 A058336 A058337 * A058339 A058340 A058341 KEYWORD nonn,nice AUTHOR EXTENSIONS a(7) added using A058337 by Falk Hüffner, Dec 03 2015 a(8) and a(9) added using A058337 by Brendan McKay, May 05 2019 Terms a(10) and beyond from Andrew Howroyd, Apr 12 2020 STATUS approved

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Last modified January 25 11:19 EST 2021. Contains 340416 sequences. (Running on oeis4.)